Trends in Harmonic Analysis

  • Massimo A. Picardello

Part of the Springer INdAM Series book series (SINDAMS, volume 3)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Jean-Philippe Anker, Pierre Martinot, Emmanuel Pedon, Alberto G. Setti
    Pages 1-25
  3. Luca Brandolini, Leonardo Colzani, Giacomo Gigante, Giancarlo Travaglini
    Pages 33-46
  4. Enrico Casadio Tarabusi, Massimo A. Picardello
    Pages 77-90
  5. Tullio Ceccherini-Silberstein, Michel Coornaert
    Pages 91-133
  6. Leonardo Colzani, Sara Volpi
    Pages 135-146
  7. Michael G. Cowling, Alessio Martini
    Pages 147-205
  8. Saverio Giulini
    Pages 277-290
  9. Anna Maria Mantero, Anna Zappa
    Pages 291-369
  10. Alessandro Ottazzi, Ben Warhurst
    Pages 371-380
  11. Gregorio Pacelli Bessa, Stefano Pigola, Alberto G. Setti
    Pages 381-398

About this book

Introduction

This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).

Keywords

Analysis on discrete groups and graphs Harmonic Analysis Hecke algebras on Bruhat-Tits affine buildings Lie groups and symmetric spaces Potential Theory

Editors and affiliations

  • Massimo A. Picardello
    • 1
  1. 1.Dipto. MatematicaUniversità di Roma - Tor VergataRomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-88-470-2853-1
  • Copyright Information Springer-Verlag Italia 2013
  • Publisher Name Springer, Milano
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-88-470-2852-4
  • Online ISBN 978-88-470-2853-1
  • Series Print ISSN 2281-518X
  • Series Online ISSN 2281-5198
  • About this book