Pseudo Differential Operators Partial Differential Equations And Time Frequency Analysis
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| Author | : Luigi Rodino |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 426 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821842765 |
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.
| Author | : Michael Ruzhansky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 416 |
| Release | : 2014-01-18 |
| Genre | : Mathematics |
| ISBN | : 3319025503 |
This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012; it was also the 6th meeting in the series “Fourier Analysis and Partial Differential Equations.”
| Author | : American Mathematical Society Staff |
| Publisher | : |
| Total Pages | : 414 |
| Release | : 2007 |
| Genre | : Partial differential operators |
| ISBN | : 9781470430863 |
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.
| Author | : M. W. Wong |
| Publisher | : Birkhäuser |
| Total Pages | : 242 |
| Release | : 2017-01-20 |
| Genre | : Mathematics |
| ISBN | : 3319475126 |
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.
| Author | : Bert-Wolfgang Schulze |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 294 |
| Release | : 2010-03-01 |
| Genre | : Mathematics |
| ISBN | : 3034601980 |
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.
| Author | : Stevan Pilipović |
| Publisher | : Birkhäuser |
| Total Pages | : 288 |
| Release | : 2015-04-27 |
| Genre | : Mathematics |
| ISBN | : 3319146181 |
This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series.
| Author | : Ryuichi Ashino |
| Publisher | : Birkhäuser |
| Total Pages | : 236 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034878400 |
This volume consists of the plenary lectures and invited talks in the special session on pseudo-differential operators given at the Fourth Congress of the International Society for Analysis, Applications and Computation (ISAAC) held at York University in Toronto, August 11-16, 2003. The theme is to look at pseudo-differential operators in a very general sense and to report recent advances in a broad spectrum of topics, such as pde, quantization, filters and localization operators, modulation spaces, and numerical experiments in wavelet transforms and orthonormal wavelet bases.
| Author | : Luigi Rodino |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 309 |
| Release | : 2011-03-13 |
| Genre | : Mathematics |
| ISBN | : 3034800495 |
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.
| Author | : Hans G. Feichtinger |
| Publisher | : Springer |
| Total Pages | : 235 |
| Release | : 2008-08-15 |
| Genre | : Mathematics |
| ISBN | : 3540682686 |
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.
| Author | : Paolo Boggiatto |
| Publisher | : Birkhäuser |
| Total Pages | : 244 |
| Release | : 2006-01-19 |
| Genre | : Mathematics |
| ISBN | : 9783764375133 |
