WorldCat Identities

Rodino, L. (Luigi)

Overview
Works: 59 works in 257 publications in 3 languages and 3,759 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other
Classifications: QA329.7, 515.7242
Publication Timeline
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Most widely held works by L Rodino
Microlocal analysis and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3-11, 1989 by Lamberto Cattabriga( Book )

17 editions published between 1991 and 2008 in English and held by 299 WorldCat member libraries worldwide

CONTENTS: J.M. Bony: Analyse microlocale des equations aux derivees partielles non lineaires.- G.G. Grubb: Parabolic pseudo-differential boundary problems and applications.- L.H
Pseudo-differential operators : quantization and signals : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006 by Hans G Feichtinger( Book )

18 editions published in 2008 in English and held by 220 WorldCat member libraries worldwide

Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted
Linear partial differential operators in Gevrey spaces by L Rodino( Book )

10 editions published in 1993 in English and held by 122 WorldCat member libraries worldwide

The book is devoted to new and classical results of the theory of linear partial differential operators in Gevrey spaces. The "microlocal approach" is adopted, by using pseudo-differential operators, wave front sets and Fourier integral operators.Basic results for Schwartz-distributions, c 8 and analytic classes are also included, concerning hypoellipticity, solvability and propagation of singularities.Also included is a self-contained exposition of the calculus of the pseudo-differential operators of infinite order
Pseudo-differential operators : partial differential equations and time-frequency analysis( Book )

8 editions published in 2007 in English and held by 120 WorldCat member libraries worldwide

Global hypoellipticity and spectral theory by Paolo Boggiatto( Book )

6 editions published in 1996 in English and held by 117 WorldCat member libraries worldwide

New developments in pseudo-differential operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007 by L Rodino( Book )

22 editions published in 2009 in English and held by 95 WorldCat member libraries worldwide

This volume consists of seventeen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at the Middle East Technical University in Ankara, Turkey on August 13-18, 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 pseudo-differential analysis on non-compact manifolds and manifolds with singularities; Fourier integral operators and Colombeau algebras with applications to partial differential equations; exotic pseudo-differential operators and regularity results on quasi-elliptic operators and hypoelliptic operators; Stockwell transforms in time-frequency analysis; and pseudo-differential operators on Lie groups with related results to sampling. This volume is a useful complement to the volumes "Advances in Pseudo-Differential Operators", "Pseudo-Differential Operators and Related Topics" and "Modern Trends in Pseudo-Differential Operators" published in the same series in, respectively, 2004, 2006 and 2007
Global pseudo-differential calculus on Euclidean spaces by Fabio Nicola( Book )

16 editions published between 2009 and 2010 in English and held by 94 WorldCat member libraries worldwide

This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to non-commutative geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations
Partial differential equations with multiple characteristics by Maria Mascarello( Book )

10 editions published in 1997 in English and held by 93 WorldCat member libraries worldwide

Microlocal analysis and spectral theory by L Rodino( Book )

12 editions published in 1997 in English and held by 86 WorldCat member libraries worldwide

There has been considerable recent progress in the field of microlocal analysis. In a broad sense the subject is the modern version of the classical Fourier technique for solving partial differential equations, with the localization process taking account of dual variables. The tools of pseudo-differential operators, wave-front sets and Fourier integral operators have now conferred a mature form on the theory of linear partial differential operators in the frame of Schwartz distributions or other generalized functions. At the same time, microlocal analysis has assumed an important role as an independent part of analysis, with other applications throughout mathematics and physics, one major theme being spectral theory for the Schrödinger equation in quantum mechanics. The papers collected here emphasize the topics of microlocal methods in the study of linear PDEs (analytic-Gevrey regularity of the solutions, elliptic boundary value problems, higher microlocalization), and applications to spectral theory (Schrödinger equation, asymptotic behavior of the eigenvalues, semi-classical analysis in large dimensions and statistical mechanics). Audience: Accessible to a wide audience, including graduate students in analysis and non-specialists from mathematics and physics
Pseudo-differential operators : analysis, applications and computations by L Rodino( Book )

16 editions published in 2011 in English and held by 75 WorldCat member libraries worldwide

This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13 18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes Advances in Pseudo-Differential Operators, Pseudo-Differential Operators and Related Topics, Modern Trends in Pseudo-Differential Operators, New Developments in Pseudo-Differential Operators and Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010
Partial differential equations and their applications : proceedings of the conference, Wuhan, China, 5-9 April 1999( Book )

4 editions published in 1999 in English and held by 67 WorldCat member libraries worldwide

Quantization and arithmetic by André Unterberger( )

2 editions published in 2008 in English and held by 22 WorldCat member libraries worldwide

"The primary aim of this book is to create situations in which the zeta function, or other L-functions, will appear in spectral-theoretic questions. A secondary aim is to connect pseudo-differential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z)." "The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory, pseudo-differential analysis or quantization theory."--Jacket
Proceedings Workshop Partial differential equations : Torino 8-10 maggio 2000 by Workshop "Partial differential equations"( Book )

8 editions published in 2000 in English and Italian and held by 13 WorldCat member libraries worldwide

Pseudo-differential operators and related topics by Paolo Boggiatto( )

8 editions published in 2006 in English and held by 7 WorldCat member libraries worldwide

This volume consists of sixteen peer-reviewed articles based on the invited talks at the International Conference on Pseudo-Differential Operators and Related Topics held at Växjö University in Sweden from June 22 to June 25, 2004. The objective is to look at pseudo-differential operators and related topics and to report recent advances in a broad spectrum of topics such as partial differential equations, quantization, Wigner transforms, Weyl transforms on Lie groups, mathematical physics, time-frequency analysis, frames, and stochastic processes. The book should be of great interest to graduate students and researchers in analysis, mathematical physics and mathematical sciences. It is a valuable complement to the volume "Advances in Pseudo-Differential Operators" published in the same series in 2004
NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS by Applications, and Computation International Society for Analysis( Book )

4 editions published in 2017 in English and German and held by 1 WorldCat member library worldwide

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications
Operator theory, pseudo-differential equations, and mathematical physics : the Vladimir Rabinovich anniversary volume by Yuri I Karlovich( Book )

5 editions published between 2012 and 2013 in English and held by 1 WorldCat member library worldwide

This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography and the bibliography of Vladimir Rabinovich's works, along with personal recollections. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the international workshop "Analysis, Operator Theory, and Mathematical Physics" (Ixtapa, Mexico, January 23-27, 2012), who have a long history of scientific collaboration with Rabinovich and whose contributions are partially based on the talks presented at that meeting. The volume will be of great interest to researchers and graduate students working in the fields of differential equations, operator theory, functional and harmonic analysis and mathematical physics
Pseudo-Differential Operators by American Mathematical Society Staff( )

1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide

This volume is based on lectures given at the workshop on pseudo-differential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and time-frequency analysis. The contents of this volume consist of five mini-courses for graduate students and post-docs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor trans
 
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Audience level: 0.67 (from 0.34 for Pseudo-dif ... to 0.95 for Proceeding ...)

Microlocal analysis and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3-11, 1989Microlocal Analysis and Applications : Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3-11, 1989
Alternative Names
Rodino, L.

Rodino, L. 1948-

Rodino, Luigi

Languages
English (174)

Italian (7)

German (1)

Covers
Pseudo-differential operators : quantization and signals : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006General theory of partial differential equations and microlocal analysis : proceedings of the Workshop on General Theory of PDEs and Microlocal Analysis, International Centre for Theoretical Physics, Trieste 1995Linear partial differential operators in Gevrey spacesPseudo-differential operators : partial differential equations and time-frequency analysisGlobal hypoellipticity and spectral theoryNew developments in pseudo-differential operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007Global pseudo-differential calculus on Euclidean spacesMicrolocal analysis and spectral theory