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Harmonic Analysis and Discrete Potential Theory

  • Book
  • © 1992

Overview

Editors:
  1. Massimo A. Picardello

    1. University of Rome “Tor Vergata”, Rome, Italy

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Compactifications Determined by a Polyhedral Cone Decomposition of ℝn

    • J. C. Taylor
    Pages 1-14

  3. Maximal Functions at Infinity for Poisson Integrals on N A

    • Andrzej Hulanicki
    Pages 15-22

  4. Potential at Infinity on Symmetric Spaces and Martin Boundary

    • Martine Babillot
    Pages 23-46

  5. On Rough Maximal Operators and Weak Type (1,1) Estimates for Convolutions

    • Peter Sjögren
    Pages 47-50

  6. Laplace’s Method, Stationary Phase, Saddle Points, and a Theorem of Lalley

    • Stanley Sawyer
    Pages 51-67

  7. Besov Spaces on Non-Homogeneous Martingales

    • Chi Gu, Mitchell Taibleson
    Pages 69-84

  8. Boundary Representations of the Free Group, I

    • Gabriella Kuhn, Tim Steger
    Pages 85-91

  9. Boundary Representations of the Free Group, II

    • Gabriella Kuhn, Tim Steger
    Pages 93-97

  10. Negative Definite Kernels on Trees

    • Alain Valette
    Pages 99-105

  11. Positive and Negative Definite Kernels on Trees

    • Wojciech Młotkowski
    Pages 107-110

  12. Probabilistic Methods for Ultracontractivity

    • Bernard Roynette
    Pages 111-129

  13. Remarks on Amenability of Discrete Hypergroups

    • Marc-Olivier Gebuhrer
    Pages 131-143

  14. Measure-Theoretic Boundaries of Markov Chains, 0–2 Laws and Entropy

    • Vadim A. Kaimanovich
    Pages 145-180

  15. Perturbations of Operators, Connections with Singular Integrals, Hyperbolicity and Entropy

    • Dan Voiculescu
    Pages 181-191

  16. Isoperimetric Inequalities for Capacities

    • Wolfhard Hansen, Nikolai Nadirashvili
    Pages 193-206

  17. Sobolev Inequalities on Graphs and on Manifolds

    • Thierry Coulhon
    Pages 207-214

  18. Potential Theory on Non-Unimodular Groups

    • N. Th. Varopoulos
    Pages 215-221

  19. Harmonic Analysis of Random Walks on the Daisy Library Graph

    • Jorge Soto-Andrade
    Pages 223-232

  20. The Rate of Escape of a Polynomial Random Walk on ℕ2

    • Léonard Gallardo
    Pages 233-247
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Keywords

Editors and Affiliations

  • University of Rome “Tor Vergata”, Rome, Italy

    Massimo A. Picardello

Bibliographic Information

  • Book Title: Harmonic Analysis and Discrete Potential Theory

  • Editors: Massimo A. Picardello

  • DOI: https://doi.org/10.1007/978-1-4899-2323-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1992

  • Hardcover ISBN: 978-0-306-44225-4Published: 31 July 1992

  • Softcover ISBN: 978-1-4899-2325-7Published: 12 June 2013

  • eBook ISBN: 978-1-4899-2323-3Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: VIII, 302

  • Topics: Analysis

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