Jørgensen, Palle E. T. 1947
Overview
Works:  124 works in 290 publications in 3 languages and 5,590 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Creator, Thesis advisor 
Classifications:  QA403.3, 515.2433 
Publication Timeline
.
Most widely held works about
Palle E. T Jørgensen
Most widely held works by
Palle E. T Jørgensen
Analysis and probability : wavelets, signals, fractals by
Palle E. T Jørgensen(
Book
)
18 editions published between 2006 and 2011 in English and held by 378 WorldCat member libraries worldwide
"This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals. The book brings together tools from engineering and math, especially from signal and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications."Résumé de l'éditeur
18 editions published between 2006 and 2011 in English and held by 378 WorldCat member libraries worldwide
"This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals. The book brings together tools from engineering and math, especially from signal and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications."Résumé de l'éditeur
Wavelets through a looking glass : the world of the spectrum by
Ola Bratteli(
Book
)
7 editions published in 2002 in English and held by 307 WorldCat member libraries worldwide
This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectraltheoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Key features of the book: The important role of the spectrum of a transfer operator is studied * Excellent graphics show how wavelets depend on the spectra of the transfer operators * Key topics of wavelet theory are examined: connected components in the variety of wavelets, the geometry of winding numbers, the Galerkin projection method, classical functions of Weierstrass and Hurwitz and their role in describing the eigenvaluespectrum of the transfer operator, isospectral families of wavelets, spectral radius formulas for the transfer operator, PerronFrobenius theory, and quadrature mirror filters * New previously unpublished results appear on the homotopy of multiresolutions, on approximation theory, and on the spectrum and structure of the fixed points of the associated transfer and subdivision operators * Concise background material for each chapter, open problems, exercises, bibliography, and comprehensive index make this work a fine pedagogical and reference resource. This selfcontained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory
7 editions published in 2002 in English and held by 307 WorldCat member libraries worldwide
This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectraltheoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Key features of the book: The important role of the spectrum of a transfer operator is studied * Excellent graphics show how wavelets depend on the spectra of the transfer operators * Key topics of wavelet theory are examined: connected components in the variety of wavelets, the geometry of winding numbers, the Galerkin projection method, classical functions of Weierstrass and Hurwitz and their role in describing the eigenvaluespectrum of the transfer operator, isospectral families of wavelets, spectral radius formulas for the transfer operator, PerronFrobenius theory, and quadrature mirror filters * New previously unpublished results appear on the homotopy of multiresolutions, on approximation theory, and on the spectrum and structure of the fixed points of the associated transfer and subdivision operators * Concise background material for each chapter, open problems, exercises, bibliography, and comprehensive index make this work a fine pedagogical and reference resource. This selfcontained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory
Operators and representation theory : canonical models for algebras of operators arising in quantum mechanics by
Palle E. T Jørgensen(
Book
)
17 editions published between 1988 and 2008 in English and held by 268 WorldCat member libraries worldwide
Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas. This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinitedimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finitedimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly elegant manner by the use of Lie algebras, extensions, and projective representations. In several cases, this Lie algebraic approach to questions in mathematical physics and C*algebra theory is new; for example, the Lie algebraic treatment of the spectral theory of curved magnetic field Hamiltonians, the treatment of irrational rotation type algebras, and the Virasoro algebra. Also examined are C*algebraic methods used (in nontraditional ways) in the study of representations of infinitedimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A. Rieffel for the study of the YangMills problem. Cutting across traditional separations between fields of specialization, the book addresses a broad audience of graduate students and researchers
17 editions published between 1988 and 2008 in English and held by 268 WorldCat member libraries worldwide
Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas. This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinitedimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finitedimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly elegant manner by the use of Lie algebras, extensions, and projective representations. In several cases, this Lie algebraic approach to questions in mathematical physics and C*algebra theory is new; for example, the Lie algebraic treatment of the spectral theory of curved magnetic field Hamiltonians, the treatment of irrational rotation type algebras, and the Virasoro algebra. Also examined are C*algebraic methods used (in nontraditional ways) in the study of representations of infinitedimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A. Rieffel for the study of the YangMills problem. Cutting across traditional separations between fields of specialization, the book addresses a broad audience of graduate students and researchers
Operator commutation relations : commutation relations for operators, semigroups, and resolvents with applications to mathematical
physics and representations of Lie groups by
Palle E. T Jørgensen(
Book
)
12 editions published in 1984 in English and Dutch and held by 260 WorldCat member libraries worldwide
12 editions published in 1984 in English and Dutch and held by 260 WorldCat member libraries worldwide
Operator algebras and mathematical physics : proceedings of a summer conference held June 1721, 1985 with support from the
National Science Foundation and the University of Iowa by Summer Conference on Algebras and Mathematical Physics(
Book
)
8 editions published in 1987 in English and held by 256 WorldCat member libraries worldwide
8 editions published in 1987 in English and held by 256 WorldCat member libraries worldwide
Ruelle operators : functions which are harmonic with respect to a transfer operator by
Palle E. T Jørgensen(
Book
)
10 editions published in 2001 in English and held by 228 WorldCat member libraries worldwide
Introduction A discrete $ax+b$ group Proof of Theorem 2.4 Wavelet filters Cocycle equivalence of filter functions The transfer operator of Keane A representation theorem for $R$harmonic functions Signed solutions to $R(f)=f$ Bibliography
10 editions published in 2001 in English and held by 228 WorldCat member libraries worldwide
Introduction A discrete $ax+b$ group Proof of Theorem 2.4 Wavelet filters Cocycle equivalence of filter functions The transfer operator of Keane A representation theorem for $R$harmonic functions Signed solutions to $R(f)=f$ Bibliography
Iterated function systems and permutation representations of the Cuntz algebra by
Ola Bratteli(
Book
)
13 editions published in 1999 in English and held by 227 WorldCat member libraries worldwide
13 editions published in 1999 in English and held by 227 WorldCat member libraries worldwide
Algebraic methods in operator theory by
Raúl E Curto(
Book
)
9 editions published in 1994 in English and held by 225 WorldCat member libraries worldwide
9 editions published in 1994 in English and held by 225 WorldCat member libraries worldwide
Representation theory and numerical AFinvariants : the representations and centralizers of certain states on Od by
Ola Bratteli(
Book
)
12 editions published in 2004 in English and held by 218 WorldCat member libraries worldwide
12 editions published in 2004 in English and held by 218 WorldCat member libraries worldwide
Wavelets, frames, and operator theory : Focused Research Group Workshop on Wavelets, Frames, and Operator Theory, January
1521, 2003, University of Maryland, College Park, Maryland by Frames, and Operator Theory Focused Research Group Workshop on Wavelets(
Book
)
8 editions published in 2004 in English and held by 207 WorldCat member libraries worldwide
Nineteen papers are presented from a special joint session held in conjunction with the American Mathematical Society's 2003 annual meeting in Baltimore, and a National Science Foundation workshop at the University of Maryland. The papers distinguish themselves by often including applications as wel
8 editions published in 2004 in English and held by 207 WorldCat member libraries worldwide
Nineteen papers are presented from a special joint session held in conjunction with the American Mathematical Society's 2003 annual meeting in Baltimore, and a National Science Foundation workshop at the University of Maryland. The papers distinguish themselves by often including applications as wel
Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 712, 2005, University
of Central Florida, Florida by Great Plains Operator Theory Symposium(
Book
)
7 editions published between 2006 and 2007 in English and held by 183 WorldCat member libraries worldwide
7 editions published between 2006 and 2007 in English and held by 183 WorldCat member libraries worldwide
Iterated function systems, moments, and transformations of infinite matrices by
Palle E. T Jørgensen(
Book
)
10 editions published in 2011 in English and held by 165 WorldCat member libraries worldwide
10 editions published in 2011 in English and held by 165 WorldCat member libraries worldwide
Representations, wavelets and frames : a celebration of the mathematical work of Lawrence Baggett by
John Benedetto(
Book
)
18 editions published in 2008 in English and held by 105 WorldCat member libraries worldwide
Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectraltheoretic flavor. The material is selfcontained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers. The book is organized into five sections that move from the theoretical underpinnings of the subject, through geometric connections to tilings, lattices and fractals, and concludes with analyses of computational schemes used in communications engineering. Within each section, individual chapters present new research, provide relevant background material, and point to new trends and open questions. Contributors: C. Benson, M. Bownik, V. Furst, V.W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang
18 editions published in 2008 in English and held by 105 WorldCat member libraries worldwide
Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectraltheoretic flavor. The material is selfcontained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers. The book is organized into five sections that move from the theoretical underpinnings of the subject, through geometric connections to tilings, lattices and fractals, and concludes with analyses of computational schemes used in communications engineering. Within each section, individual chapters present new research, provide relevant background material, and point to new trends and open questions. Contributors: C. Benson, M. Bownik, V. Furst, V.W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang
Algebras, graphs and their applications by
Ilwoo Cho(
Book
)
10 editions published between 2013 and 2014 in English and held by 77 WorldCat member libraries worldwide
"Preface In this book, we consider algebra on directed graphs. From combinatorial objects, direct graphs, we establish corresponding algebraic objects which become groupoids. We call such groupoids graph groupoids. Connected with groupoid theory, we investigate the properties of graph groupoids. From this investigation, we can realize that graph groupoids act like the free groups in group theory. In other words, the study of graph groupoids is understood as groupoidal version of freegroup theory. As application, we observe how graph groupoids are playing their role in different mathematical and scientific areas, including general groupoid theory, representation theory, automata theory, operator algebra (von Neumann algebra theory, C*algebra theory, free probability, and index theory), noncommutative dynamical systems (groupoid dynamical systems), operator theory (spectral theory), fractal theory, information theory (entropy theory), and network theory, etc. We can check all operated groupoids (for instance, groupoid sums, product groupoids, quotient groupoids, etc) of graph groupoids are graph groupoids, too. This means that the study of operated groupoids of graph groupoids becomes nothing but studying other graph groupoids. It makes us easy to handle graphgroupoid related structures"
10 editions published between 2013 and 2014 in English and held by 77 WorldCat member libraries worldwide
"Preface In this book, we consider algebra on directed graphs. From combinatorial objects, direct graphs, we establish corresponding algebraic objects which become groupoids. We call such groupoids graph groupoids. Connected with groupoid theory, we investigate the properties of graph groupoids. From this investigation, we can realize that graph groupoids act like the free groups in group theory. In other words, the study of graph groupoids is understood as groupoidal version of freegroup theory. As application, we observe how graph groupoids are playing their role in different mathematical and scientific areas, including general groupoid theory, representation theory, automata theory, operator algebra (von Neumann algebra theory, C*algebra theory, free probability, and index theory), noncommutative dynamical systems (groupoid dynamical systems), operator theory (spectral theory), fractal theory, information theory (entropy theory), and network theory, etc. We can check all operated groupoids (for instance, groupoid sums, product groupoids, quotient groupoids, etc) of graph groupoids are graph groupoids, too. This means that the study of operated groupoids of graph groupoids becomes nothing but studying other graph groupoids. It makes us easy to handle graphgroupoid related structures"
Positive semigroups of operators, and applications by
Ola Bratteli(
Book
)
5 editions published in 1984 in English and held by 59 WorldCat member libraries worldwide
5 editions published in 1984 in English and held by 59 WorldCat member libraries worldwide
Recent advances in computational sciences : selected papers from the International Workshop on Computational Sciences and
its Education, Beijing, China, 2931 August 2005 by International Workshop on Computational Sciences and its Education(
Book
)
5 editions published in 2008 in English and held by 42 WorldCat member libraries worldwide
This book presents stateoftheart lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phasefield equations. It also discusses some interesting topics related to Stokes equations, Schrödinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book. This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries
5 editions published in 2008 in English and held by 42 WorldCat member libraries worldwide
This book presents stateoftheart lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phasefield equations. It also discusses some interesting topics related to Stokes equations, Schrödinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book. This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries
Commutative and noncommutative harmonic analysis and applications : AMS Special Session in Memory of Daryl Geller on Wavelet
and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, September 2223, 2012, Rochester Institute
of Technology, Rochester, NY by AMS Special Session in Memory of Daryl Geller Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential
Equations(
Book
)
2 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
2 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide
Arbejderbevægelsen i Spanien : en historie skrevet med blod by
Palle E. T Jørgensen(
Book
)
2 editions published in 1986 in Danish and English and held by 8 WorldCat member libraries worldwide
2 editions published in 1986 in Danish and English and held by 8 WorldCat member libraries worldwide
Operator algebras and mathematical physics : proceedings of a summer conference held June 17  21, 1985 [at the University
of Iowa, Iowa City, Iowa](
Book
)
3 editions published between 1986 and 1987 in English and held by 8 WorldCat member libraries worldwide
3 editions published between 1986 and 1987 in English and held by 8 WorldCat member libraries worldwide
Advances in quantum dynamics : proceedings of the AMSIMSSIAM Joint Summer Research Conference on Advances in Quantum Dynamics,
June 1620, 2002, Mount Holyoke College, South Hadley, Massachusetts by
Geoffrey R Price(
Book
)
2 editions published between 2003 and 2004 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 2003 and 2004 in English and held by 2 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Bratteli, Ola Author Editor
 Merrill, Kathy Donovan Editor
 Packer, Judith A. Editor
 Treadway, Brian Illustrator
 Larson, David R. 1942 Editor
 Baggett, Lawrence W. 1939
 Moore, Robert T. 1938
 Muhly, Paul S. Editor
 Benedetto, John J. Author
 Curto, Raúl E. 1954 Author Editor
Associated Subjects
Algebra AlgebraGraphic methods Banach algebras C*algebras Canada College teachers Commutation relations (Quantum mechanics) Computer scienceMathematics Computer scienceMathematicsStudy and teaching Differential equations, Partial Distribution (Probability theory) Engineering mathematics Ergodic theory Fourier analysis Fractals Frames (Combinatorial analysis) Functional analysis Global analysis (Mathematics) Groupoids Harmonic analysis Hilbert space Infinite matrices Iterative methods (Mathematics) Linear operators Mathematical analysis Mathematical physics Mathematicians Mathematics Operator algebras Operator theory Partial differential operators Physicists Probabilities Quantum theory Representations of algebras Representations of Banach modules Representations of groups Representations of Lie groups Ruelle operators Scientists Selfadjoint operators Semigroups Semigroups of operators Signal processingMathematics Spectral theory (Mathematics) Transformations (Mathematics) United States Von Neumann algebras Wavelets (Mathematics)