Advances in Harmonic Analysis and Partial Differential Equations
Editors: Georgiev, V., Ozawa, T., Ruzhansky, M., Wirth, J. (Eds.)
Free Preview- Provides original contributions from leading experts
- Focusses on the interaction of different fields
- Allows expert researchers as well as postgraduate students to grasp new ideas
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- About this book
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This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers.
The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.
- Table of contents (13 chapters)
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Local Smoothing of Fourier Integral Operators and Hermite Functions
Pages 1-35
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On (λ, μ)-Classes on the Engel Group
Pages 37-49
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Gelfand Triples for the Kohn–Nirenberg Quantization on Homogeneous Lie Groups
Pages 51-97
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A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent
Pages 99-120
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The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds
Pages 121-163
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Table of contents (13 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Advances in Harmonic Analysis and Partial Differential Equations
- Editors
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- Vladimir Georgiev
- Tohru Ozawa
- Michael Ruzhansky
- Jens Wirth
- Series Title
- Trends in Mathematics
- Copyright
- 2020
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-58215-9
- DOI
- 10.1007/978-3-030-58215-9
- Hardcover ISBN
- 978-3-030-58214-2
- Series ISSN
- 2297-0215
- Edition Number
- 1
- Number of Pages
- X, 317
- Number of Illustrations
- 3 b/w illustrations, 2 illustrations in colour
- Topics
