Kuroda, S. T.
Overview
Works:  25 works in 82 publications in 2 languages and 742 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA329, 515.724 
Publication Timeline
.
Most widely held works by
S. T Kuroda
Functionalanalytic methods for partial differential equations : proceedings of a conference and a symposium held in Tokyo,
July 39, 1989 by
Hiroshi Fujita(
Book
)
17 editions published in 1990 in English and held by 315 WorldCat member libraries worldwide
17 editions published in 1990 in English and held by 315 WorldCat member libraries worldwide
An introduction to scattering theory by
S. T Kuroda(
Book
)
13 editions published between 1976 and 1980 in 3 languages and held by 76 WorldCat member libraries worldwide
13 editions published between 1976 and 1980 in 3 languages and held by 76 WorldCat member libraries worldwide
Exponentially dichotomous operators and applications by
C. V. M. van der Mee(
)
3 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
"In this monograph the natural evolution operators of autonomous firstorder differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these socalled exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to WienerHopf factorization and Riccati equations, transport equations, diffusion equations of indefinite SturmLiouville type, noncausal infinitedimensional linear continuoustime systems, and functional differential equations of mixed type." "The book is geared towards researchers and graduate students in (applied) functional analysis and mathematical systems theory."BOOK JACKET
3 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
"In this monograph the natural evolution operators of autonomous firstorder differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these socalled exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to WienerHopf factorization and Riccati equations, transport equations, diffusion equations of indefinite SturmLiouville type, noncausal infinitedimensional linear continuoustime systems, and functional differential equations of mixed type." "The book is geared towards researchers and graduate students in (applied) functional analysis and mathematical systems theory."BOOK JACKET
An introduction to scattering theory : Spring semester 1976 by
S. T Kuroda(
Book
)
4 editions published between 1978 and 1980 in English and held by 20 WorldCat member libraries worldwide
4 editions published between 1978 and 1980 in English and held by 20 WorldCat member libraries worldwide
Recent advances in operator theory and its applications : the Israel Gohberg anniversary volume : International Workshop on
Operator Theory and its Applications, IWOTA 2003, Cagliari, Italy by
I Gohberg(
)
8 editions published in 2005 in English and held by 8 WorldCat member libraries worldwide
Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 2427, 2003. The workshop, which was attended by 108 mathematicians  including a number of PhD and postdoctoral students  from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudodi?erential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics p sentedanddiscussedattheworkshop,bothwithinandoutsidethespecialsessions. The papers deal with inverse scattering, numerical ranges, pseudodi?erential  erators, numerical analysis, interpolation theory, multidimensional system theory, inde?nite inner products, spectral factorization, and stationary processes. SinceintheperiodthattheproceedingsofIWOTA2003werebeingprepared, Israel Gohberg, the president of the IWOTA steering committee, reached the age of 75, we decided to dedicate these proceedings to Israel Gohberg on the occasion of his 75th birthday. All of the authors of these proceedingshavejoined the editors and dedicated their papers to him as well
8 editions published in 2005 in English and held by 8 WorldCat member libraries worldwide
Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 2427, 2003. The workshop, which was attended by 108 mathematicians  including a number of PhD and postdoctoral students  from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudodi?erential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics p sentedanddiscussedattheworkshop,bothwithinandoutsidethespecialsessions. The papers deal with inverse scattering, numerical ranges, pseudodi?erential  erators, numerical analysis, interpolation theory, multidimensional system theory, inde?nite inner products, spectral factorization, and stationary processes. SinceintheperiodthattheproceedingsofIWOTA2003werebeingprepared, Israel Gohberg, the president of the IWOTA steering committee, reached the age of 75, we decided to dedicate these proceedings to Israel Gohberg on the occasion of his 75th birthday. All of the authors of these proceedingshavejoined the editors and dedicated their papers to him as well
Tosio Kato's method and principle for evolution equations in mathematical physics(
Book
)
3 editions published between 2001 and 2002 in English and held by 4 WorldCat member libraries worldwide
3 editions published between 2001 and 2002 in English and held by 4 WorldCat member libraries worldwide
On the Hölder continuity of an integral involving Bessel functions by
S. T Kuroda(
Book
)
3 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1967 in English and held by 4 WorldCat member libraries worldwide
Construction of eigenfunction expansions by the perturbation method and its application to ndimensional Schrödinger operators by
S. T Kuroda(
Book
)
3 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1967 in English and held by 3 WorldCat member libraries worldwide
Functionalanalytic methods for partial differential equations : proceedings of a conference and a symposium held in Tokyo,
Japan ... 1989(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
Nonlinear parabolichyperbolic coupled systems and their attractors by
Yuming Qin(
)
3 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
This book presents recent results concerning the global existence in time, the largetime behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolichyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible NavierStokes equations, thermo(visco)elastic systems and elastic systems. To keep the book as selfcontained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequalities in analysis, and the theory of semigroups of linear operators and of global attractors
3 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
This book presents recent results concerning the global existence in time, the largetime behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolichyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible NavierStokes equations, thermo(visco)elastic systems and elastic systems. To keep the book as selfcontained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequalities in analysis, and the theory of semigroups of linear operators and of global attractors
Functional analysis and its application : International conference : Selected papers(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
Spectral and scattering theory and related topics : [lectures delivered at the Seminar on Spectral and Scattering Theory and
Related Fields, which was held at the Research Institute for Mathematical Sciences, Kyoto University, from January 30 to February
1, 1975] by Seminar on Spectral and Scattering Theory and Related Fields(
Book
)
2 editions published in 1975 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1975 in English and held by 2 WorldCat member libraries worldwide
Optimal domain and integral extension of operators : acting in function spaces by
Susumu Okada(
)
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"This book treats the analysis of linear operators from a quasiBanach function space into a Banach space. The idea is to extend the operator to its optimal domain space and to take advantage of this in analysing the original operator. Of particular interest are ideal properties such as compactness, weak compactness and complete continuity." "Since the book is directed not only at experienced researchers but also advanced research students, complete proofs are included and examples are worked out in detail. A good working knowledge of functional analysis, measure theory, operator theory and commutative harmonic analysis is assumed, whereas any new material is developed in a selfcontained manners."Jacket
2 editions published in 2008 in English and held by 1 WorldCat member library worldwide
"This book treats the analysis of linear operators from a quasiBanach function space into a Banach space. The idea is to extend the operator to its optimal domain space and to take advantage of this in analysing the original operator. Of particular interest are ideal properties such as compactness, weak compactness and complete continuity." "Since the book is directed not only at experienced researchers but also advanced research students, complete proofs are included and examples are worked out in detail. A good working knowledge of functional analysis, measure theory, operator theory and commutative harmonic analysis is assumed, whereas any new material is developed in a selfcontained manners."Jacket
On the holder continuity of an integral involving bessel functions(
Book
)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
With the aim of using in an argument in the study of the spectrum of the Schrodinger operators, a particular integral involving the Bessel functions and depending on a parameter is considered. The main purpose is to investigate the continuity property of the integral with respect to the parameter. It is shown that it is Holder continuous with the exponent large enough for the purpose of the application and that the Holder continuity is uniform with respect to the order of the Bessel function involved. The second point constitutes the major part of the discussion. (Author)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
With the aim of using in an argument in the study of the spectrum of the Schrodinger operators, a particular integral involving the Bessel functions and depending on a parameter is considered. The main purpose is to investigate the continuity property of the integral with respect to the parameter. It is shown that it is Holder continuous with the exponent large enough for the purpose of the application and that the Holder continuity is uniform with respect to the order of the Bessel function involved. The second point constitutes the major part of the discussion. (Author)
Construction of eigenfunction expansions by the perturbation method and its application to ndimensional schrodinger operations(
Book
)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
An operatortheoretical approach to the construction of eigenfunction expansions by the perturbation method is discussed. Eigenfunction expansions in this paper mean those associated with continuous spectra. The method is to combine a stationary approach to the scattering theory with the now well developed idea of formulating generalized eigenfunction expansions in terms of a triplet of spaces. Given an expansion associated with the unperturbed operator, two complete sets of eigenfunctions of the perturbed operator are constructed and shown to be the unique solution of the LippmannSchwinger equation in a modified form. As an application, spectral properties of the ndimensional Schrodinger operator delta + f(x) are investigated in detail
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
An operatortheoretical approach to the construction of eigenfunction expansions by the perturbation method is discussed. Eigenfunction expansions in this paper mean those associated with continuous spectra. The method is to combine a stationary approach to the scattering theory with the now well developed idea of formulating generalized eigenfunction expansions in terms of a triplet of spaces. Given an expansion associated with the unperturbed operator, two complete sets of eigenfunctions of the perturbed operator are constructed and shown to be the unique solution of the LippmannSchwinger equation in a modified form. As an application, spectral properties of the ndimensional Schrodinger operator delta + f(x) are investigated in detail
The abstract theory of scattering by
Tosio Katō(
Book
)
2 editions published in 1969 in English and held by 1 WorldCat member library worldwide
2 editions published in 1969 in English and held by 1 WorldCat member library worldwide
New developments in pseudodifferential operators : ISAAC Group in PseudoDifferential Operators (IGPDO), Middle East Technical
University, Ankara, Turkey, August 2007 by
I Gohberg(
)
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This volume consists of seventeen peerreviewed papers related to lectures on pseudodifferential operators presented at the meeting of the ISAAC Group in PseudoDifferential Operators (IGPDO) held at the Middle East Technical University in Ankara,Turkey on August 1318, 2007, and invited papers by experts in the field. Included in this volume are such topics as analysis and partial differential equations related to the Heisenberg group; global analysis and pseudodifferential analysis on noncompact manifolds and manifolds with singularities; Fourier integral operators and Colombeau algebras with applications to partial differential equations; exotic pseudodifferential operators and regularity results on quasielliptic operators and hypoelliptic operators; Stockwell transforms in timefrequency analysis; and pseudodifferential operators on Lie groups with related results to sampling. This volume is a useful complement to the volumes "Advances in PseudoDifferential Operators", "PseudoDifferential Operators and Related Topics" and "Modern Trends in PseudoDifferential Operators" published in the same series in, respectively, 2004, 2006 and 2007
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This volume consists of seventeen peerreviewed papers related to lectures on pseudodifferential operators presented at the meeting of the ISAAC Group in PseudoDifferential Operators (IGPDO) held at the Middle East Technical University in Ankara,Turkey on August 1318, 2007, and invited papers by experts in the field. Included in this volume are such topics as analysis and partial differential equations related to the Heisenberg group; global analysis and pseudodifferential analysis on noncompact manifolds and manifolds with singularities; Fourier integral operators and Colombeau algebras with applications to partial differential equations; exotic pseudodifferential operators and regularity results on quasielliptic operators and hypoelliptic operators; Stockwell transforms in timefrequency analysis; and pseudodifferential operators on Lie groups with related results to sampling. This volume is a useful complement to the volumes "Advances in PseudoDifferential Operators", "PseudoDifferential Operators and Related Topics" and "Modern Trends in PseudoDifferential Operators" published in the same series in, respectively, 2004, 2006 and 2007
Spectral theory in inner product spaces and applications : 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials,
Berlin, December 2006 by
I Gohberg(
)
3 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This book contains a collection of recent research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17, 2006. The contributions in this volume are devoted to spectral and perturbation theory of linear operators in spaces with an inner product, generalized Nevanlinna functions and problems and applications in the field of differential equations. Among the discussed topics are linear relations, singular perturbations, de Branges spaces, nonnegative matrices and abstract kinetic equations
3 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This book contains a collection of recent research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17, 2006. The contributions in this volume are devoted to spectral and perturbation theory of linear operators in spaces with an inner product, generalized Nevanlinna functions and problems and applications in the field of differential equations. Among the discussed topics are linear relations, singular perturbations, de Branges spaces, nonnegative matrices and abstract kinetic equations
Methods of spectral analysis in mathematical physics : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP)
2006, Lund, Sweden by
I Gohberg(
)
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This volume contains mainly the lectures delivered by the participants of the International Conference: Operator Theory, Analysis and Mathematical Physics  OTAMP2006, held in Lund. As in the previous conferences of the OTAMP series, the main lectures presented an overview of current research which uses operator methods in analysis and mathematical physics. The topics of the Proceedings belong to various di?erent ?elds of mathem ical physics. Among others (but there is much more in this volume) the following subjects are presented: inverse spectral and scattering problems on graphs, review articles on quadratic Hamiltonians and BornOppenheimer approximations,  cursive construction of the AblowitzLadik Hierarchy, spectral properties of ?nite di?erence and one (or two) dimensional Schro ¨dinger operators, eigenvalues and their estimates for Jacobi matrices and AharonovBohm operator. Most papers of the volume contain original material and were refereed by acknowledged experts. The Editors thank all the referees whose job helped to improve the clarity of the collected material. The Organizing Committee of the conference also thanks all session organizers for the interesting choice of the s enti?c programme and to all participants who delivered ?ne lectures. We greatly appreciate ?nancial support of the ESF programme SPECT, without whose nancial support the OTAMP2006 would never been so well organized. Special thanks go to other agenciessupportedthe conference?nancially:Vetenskapsr? adet, WennerGren Foundation, as well as to Lund University and to the Institute of Mathematics of the Polish Academy of Sciences
2 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This volume contains mainly the lectures delivered by the participants of the International Conference: Operator Theory, Analysis and Mathematical Physics  OTAMP2006, held in Lund. As in the previous conferences of the OTAMP series, the main lectures presented an overview of current research which uses operator methods in analysis and mathematical physics. The topics of the Proceedings belong to various di?erent ?elds of mathem ical physics. Among others (but there is much more in this volume) the following subjects are presented: inverse spectral and scattering problems on graphs, review articles on quadratic Hamiltonians and BornOppenheimer approximations,  cursive construction of the AblowitzLadik Hierarchy, spectral properties of ?nite di?erence and one (or two) dimensional Schro ¨dinger operators, eigenvalues and their estimates for Jacobi matrices and AharonovBohm operator. Most papers of the volume contain original material and were refereed by acknowledged experts. The Editors thank all the referees whose job helped to improve the clarity of the collected material. The Organizing Committee of the conference also thanks all session organizers for the interesting choice of the s enti?c programme and to all participants who delivered ?ne lectures. We greatly appreciate ?nancial support of the ESF programme SPECT, without whose nancial support the OTAMP2006 would never been so well organized. Special thanks go to other agenciessupportedthe conference?nancially:Vetenskapsr? adet, WennerGren Foundation, as well as to Lund University and to the Institute of Mathematics of the Polish Academy of Sciences
Recent advances in operator theory and applications by
I Gohberg(
)
3 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This volume contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. The special interest areas of this workshop were Hilbert/Krein space operator theory, complex function theory related to Hilbert space operators, and systems theory related to Hilbert space operators. This volume contains sixteen research papers which reflect recent developments in operator theory and applications
3 editions published in 2009 in English and held by 0 WorldCat member libraries worldwide
This volume contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. The special interest areas of this workshop were Hilbert/Krein space operator theory, complex function theory related to Hilbert space operators, and systems theory related to Hilbert space operators. This volume contains sixteen research papers which reflect recent developments in operator theory and applications
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Related Identities
 Ikebe, T. (Teruo) 1930 Editor
 藤田, 宏 (1932 ) Author Editor
 Katō, Tosio 1917 Author
 Mityagin, B.
 Tretter, C.
 Schulze, B.W
 Dijksma, A.
 Kaper, H. G.
 Duduchava, R.
 Alpay, D.
Associated Subjects
Bessel functions Differential equations Differential equations, Linear Differential equations, Nonlinear Differential equations, Partial Eigenfunction expansions Evolution equations Fourier analysis Functional analysis Functions of complex variables Function spaces Global analysis (Mathematics) Hilbert space Inner product spaces Integral equations Integral operators Katō, Tosio, Linear operators Mathematical physics Mathematics Numerical analysis Operator theory Perturbation (Mathematics) Pseudodifferential operators Scattering (Mathematics) Scattering (Physics) Schrödinger operator Set functions Spectral theory (Mathematics)