Cargando…
Fourier integrals in classical analysis /
This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2017.
|
| Edición: | Second edition. |
| Colección: | Cambridge tracts in mathematics ;
210. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat-Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff. This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. |
|---|---|
| Descripción Física: | 1 online resource (xiv, 334 pages) |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781108234733 1108234739 9781316341186 1316341186 |