Luigi Rodino's Books

Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis

Partial Differential Equations and Time-frequency Analysis

By: Luigi Rodino,Bert-Wolfgang Schulze,Man Wah Wong

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Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis

Partial Differential Equations and Time-frequency Analysis

By: Luigi Rodino,Bert-Wolfgang Schulze,Man Wah Wong

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 transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudo-differential operators.

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Page Count

426

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821842765

ISBN 13

9780821842768

Linear Partial Differential Operators in Gevrey Spaces

By: Luigi Rodino

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Linear Partial Differential Operators in Gevrey Spaces

By: Luigi Rodino

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, cì 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.

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Page Count

272

Publisher

World Scientific

Published Date

ISBN 10

9810208456

ISBN 13

9789810208455

Time-Frequency Analysis of Operators

By: Elena Cordero,Luigi Rodino

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Time-Frequency Analysis of Operators

By: Elena Cordero,Luigi Rodino

This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines.

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Page Count

458

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

311053245X

ISBN 13

9783110532456

Global Pseudo-differential Calculus on Euclidean Spaces

By: Fabio Nicola,Luigi Rodino

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Global Pseudo-differential Calculus on Euclidean Spaces

By: Fabio Nicola,Luigi Rodino

This book presents a global pseudo-differential calculus in Euclidean spaces, which includes SG as well as Shubin classes and their natural generalizations containing Schroedinger operators with non-polynomial potentials. This calculus is applied to study global hypoellipticity for several pseudo-differential operators. The book includes classic calculus as a special case. It will be accessible to graduate students and of benefit to researchers in PDEs and mathematical physics.

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Page Count

309

Publisher

Springer Science & Business Media

Published Date

ISBN 10

376438512X

ISBN 13

9783764385125

Linear Partial Differential Operators In Gevrey Spaces

By: Luigi Rodino

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Linear Partial Differential Operators In Gevrey Spaces

By: Luigi Rodino

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∞ 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.

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Page Count

266

Publisher

World Scientific

Published Date

ISBN 10

9814505870

ISBN 13

9789814505871

Global Pseudo-differential Calculus on Euclidean Spaces

By: Fabio Nicola,Luigi Rodino

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Global Pseudo-differential Calculus on Euclidean Spaces

By: Fabio Nicola,Luigi Rodino

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Solve jigsaw puzzle

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Page Count

309

Publisher

Springer Science & Business Media

Published Date

ISBN 10

376438512X

ISBN 13

9783764385125

Time-Frequency Analysis of Operators

By: Elena Cordero,Luigi Rodino

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Time-Frequency Analysis of Operators

By: Elena Cordero,Luigi Rodino

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N/A

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Solve jigsaw puzzle

Age

Page Count

458

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

311053245X

ISBN 13

9783110532456

Book's by Luigi Rodino

Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis

Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis

Linear Partial Differential Operators in Gevrey Spaces

Linear Partial Differential Operators in Gevrey Spaces

Time-Frequency Analysis of Operators

Time-Frequency Analysis of Operators

Global Pseudo-differential Calculus on Euclidean Spaces

Global Pseudo-differential Calculus on Euclidean Spaces

Linear Partial Differential Operators In Gevrey Spaces

Linear Partial Differential Operators In Gevrey Spaces

Global Pseudo-differential Calculus on Euclidean Spaces

Global Pseudo-differential Calculus on Euclidean Spaces

Time-Frequency Analysis of Operators

Time-Frequency Analysis of Operators

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