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Trends in Harmonic Analysis

  • Book
  • © 2013

Overview

Editors:
  1. Massimo A. Picardello

    1. Dipto. Matematica, Università di Roma - Tor Vergata, Roma, Italy

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  • An unusually wide scope of developments in Harmonic Analysis
  • Contributions by leading experts in each area
  • A unique panorama of the development of italian harmonic Analysis, a plus for the new INdAM-Springer collection
  • Dedicated to a famous mathematician in the occasion of his retirement
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer INdAM Series (SINDAMS)

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Table of contents (17 chapters)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. The Shifted Wave Equation on Damek–Ricci Spaces and on Homogeneous Trees

    • Jean-Philippe Anker, Pierre Martinot, Emmanuel Pedon, Alberto G. Setti
    Pages 1-25

  3. Invariance of Capacity Under Quasisymmetric Maps of the Circle: An Easy Proof

    • Nicola Arcozzi, Richard Rochberg
    Pages 27-32

  4. A Koksma–Hlawka Inequality for Simplices

    • Luca Brandolini, Leonardo Colzani, Giacomo Gigante, Giancarlo Travaglini
    Pages 33-46

  5. A Dual Interpretation of the Gromov–Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices

    • Michelle Bucher, Marc Burger, Alessandra Iozzi
    Pages 47-76

  6. The Algebras Generated by the Laplace Operators in a Semi-homogeneous Tree

    • Enrico Casadio Tarabusi, Massimo A. Picardello
    Pages 77-90

  7. Surjunctivity and Reversibility of Cellular Automata over Concrete Categories

    • Tullio Ceccherini-Silberstein, Michel Coornaert
    Pages 91-133

  8. Pointwise Convergence of Bochner–Riesz Means in Sobolev Spaces

    • Leonardo Colzani, Sara Volpi
    Pages 135-146

  9. Sub-Finsler Geometry and Finite Propagation Speed

    • Michael G. Cowling, Alessio Martini
    Pages 147-205

  10. On the Boundary Behavior of Holomorphic and Harmonic Functions

    • Fausto Di Biase
    Pages 207-244

  11. Constructing Laplacians on Limit Spaces of Self-similar Groups

    • Alfredo Donno
    Pages 245-275

  12. Some Remarks on Generalized Gaussian Noise

    • Saverio Giulini
    Pages 277-290

  13. Eigenvalues of the Vertex Set Hecke Algebra of an Affine Building

    • Anna Maria Mantero, Anna Zappa
    Pages 291-369

  14. A Liouville Type Theorem for Carnot Groups: A Case Study

    • Alessandro Ottazzi, Ben Warhurst
    Pages 371-380

  15. Stochastic Properties of Riemannian Manifolds and Applications to PDE’s

    • Gregorio Pacelli Bessa, Stefano Pigola, Alberto G. Setti
    Pages 381-398

  16. Characterization of Carleson Measures for Besov Spaces on Homogeneous Trees

    • Maria Rosaria Tupputi
    Pages 399-407

  17. Atomic and Maximal Hardy Spaces on a Lie Group of Exponential Growth

    • Maria Vallarino
    Pages 409-424

  18. The Maximal Singular Integral: Estimates in Terms of the Singular Integral

    • Joan Verdera
    Pages 425-447
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Keywords

About this book

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).

Editors and Affiliations

  • Dipto. Matematica, Università di Roma - Tor Vergata, Roma, Italy

    Massimo A. Picardello

Bibliographic Information

  • Book Title: Trends in Harmonic Analysis

  • Editors: Massimo A. Picardello

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-88-470-2853-1

  • Publisher: Springer Milano

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Italia 2013

  • Hardcover ISBN: 978-88-470-2852-4Published: 05 December 2012

  • Softcover ISBN: 978-88-470-5593-3Published: 29 January 2015

  • eBook ISBN: 978-88-470-2853-1Published: 05 December 2012

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: XII, 448

  • Topics: Mathematics, general

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