Modern Trends in Pseudo-Differential Operators

Modern Trends in Pseudo-Differential Operators PDF Author: Joachim Toft
Publisher: Springer Science & Business Media
ISBN: 3764381167
Category : Mathematics
Languages : en
Pages : 338

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Book Description
The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

Modern Trends in Pseudo-Differential Operators

Modern Trends in Pseudo-Differential Operators PDF Author: Joachim Toft
Publisher: Springer Science & Business Media
ISBN: 3764381167
Category : Mathematics
Languages : en
Pages : 338

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Book Description
The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

Recent Trends in Toeplitz and Pseudodifferential Operators

Recent Trends in Toeplitz and Pseudodifferential Operators PDF Author: Roland V. Duduchava
Publisher: Springer Science & Business Media
ISBN: 303460548X
Category : Mathematics
Languages : en
Pages : 275

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Book Description
The aim of the book is to present new results in operator theory and its applications. In particular, the book is devoted to operators with automorphic symbols, applications of the methods of modern operator theory and differential geometry to some problems of theory of elasticity, quantum mechanics, hyperbolic systems of partial differential equations with multiple characteristics, Laplace-Beltrami operators on manifolds with singular points. Moreover, the book comprises new results in the theory of Wiener-Hopf operators with oscillating symbols, large hermitian Toeplitz band matrices, commutative algebras of Toeplitz operators, and discusses a number of other topics.

New Developments in Pseudo-Differential Operators

New Developments in Pseudo-Differential Operators PDF Author: Luigi Rodino
Publisher: Springer Science & Business Media
ISBN: 3764389699
Category : Mathematics
Languages : en
Pages : 337

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Book Description
This volume consists of peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held on August 13-18, 2007, and invited papers by experts in the field.

Modern Trends in Pseudo-Differential Operators

Modern Trends in Pseudo-Differential Operators PDF Author: Joachim Toft
Publisher: Springer Science & Business Media
ISBN: 3764380977
Category : Mathematics
Languages : en
Pages : 338

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Book Description
The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

Modern Trends in Pseudo-Differential Operators

Modern Trends in Pseudo-Differential Operators PDF Author: Joachim Toft
Publisher: Birkhäuser
ISBN: 9783764391812
Category : Mathematics
Languages : en
Pages : 344

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Book Description
The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Università di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

Pseudo-differential Operators

Pseudo-differential Operators PDF Author: Luigi Rodino
Publisher: American Mathematical Soc.
ISBN: 9780821871553
Category : Mathematics
Languages : en
Pages : 432

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Book Description
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.

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations PDF Author: Bert-Wolfgang Schulze
Publisher: Springer Science & Business Media
ISBN: 3034601980
Category : Mathematics
Languages : en
Pages : 294

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Book Description
Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.

Pseudo-Differential Operators: Groups, Geometry and Applications

Pseudo-Differential Operators: Groups, Geometry and Applications PDF Author: M. W. Wong
Publisher: Birkhäuser
ISBN: 3319475126
Category : Mathematics
Languages : en
Pages : 242

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Book Description
This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.

Pseudo-Differential Operators and Symmetries

Pseudo-Differential Operators and Symmetries PDF Author: Michael V. Ruzhansky
Publisher: Springer Science & Business Media
ISBN: 3764385138
Category : Mathematics
Languages : en
Pages : 712

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Book Description
This monograph is devoted to the development of the theory of pseudo-di?erential n operators on spaces with symmetries. Such spaces are the Euclidean space R ,the n torus T , compact Lie groups and compact homogeneous spaces. The book consists of several parts. One of our aims has been not only to present new results on pseudo-di?erential operators but also to show parallels between di?erent approaches to pseudo-di?erential operators on di?erent spaces. Moreover, we tried to present the material in a self-contained way to make it accessible for readers approaching the material for the ?rst time. However, di?erent spaces on which we develop the theory of pseudo-di?er- tial operators require di?erent backgrounds. Thus, while operators on the - clidean space in Chapter 2 rely on the well-known Euclidean Fourier analysis, pseudo-di?erentialoperatorsonthetorusandmoregeneralLiegroupsinChapters 4 and 10 require certain backgrounds in discrete analysis and in the representation theory of compact Lie groups, which we therefore present in Chapter 3 and in Part III,respectively. Moreover,anyonewhowishestoworkwithpseudo-di?erential- erators on Lie groups will certainly bene?t from a good grasp of certain aspects of representation theory. That is why we present the main elements of this theory in Part III, thus eliminating the necessity for the reader to consult other sources for most of the time. Similarly, the backgrounds for the theory of pseudo-di?erential 3 operators on S and SU(2) developed in Chapter 12 can be found in Chapter 11 presented in a self-contained way suitable for immediate use.

Pseudo-Differential Operators: Analysis, Applications and Computations

Pseudo-Differential Operators: Analysis, Applications and Computations PDF Author: Luigi Rodino
Publisher: Springer Science & Business Media
ISBN: 3034800495
Category : Mathematics
Languages : en
Pages : 309

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Book Description
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.