Explorations in harmonic analysis : with applications to complex function theory and the Heisenberg group
This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier se...
Guardat en:
| Autor principal: | |
|---|---|
| Altres autors: | |
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edició: | 1. |
| Col·lecció: | Applied and Numerical Harmonic Analysis
|
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 01 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Explorations in Harmonic Analysis, Texte imprimé, 9780817672072 • Explorations in harmonic analysis, with applications to complex function theory and the Heisenberg group, Steven G. Krantz, 2009, Boston, Birkhäuser, 1 vol. (XIV-360 p.), Applied and numerical harmonic analysis, 978-0-8176-4668-4 |
| Sumari: | This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis. Within the textbook, the new ideas on the Heisenberg group are applied to the study of estimates for both the Szegö and Poisson Szegö integrals on the unit ball in complex space. Thus the main theme of the book is also tied into complex analysis of several variables. With a rigorous but well-paced exposition, this text provides all the necessary background in singular and fractional integrals, as well as Hardy spaces and the function theory of several complex variables, needed to understand Heisenberg analysis. Explorations in Harmonic Analysis is ideal for graduate students in mathematics, physics, and engineering. Prerequisites include a fundamental background in real and complex analysis and some exposure to functional analysis |
|---|---|
| Descripció de l’ítem: | Description d'après consultation du 01 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9780817646691 |
| ISSN: | 2296-5017 |
| Accés: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |