Trends in Harmonic Analysis

This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Fig-̉Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the m...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Picardello, Massimo A. (Editor)
Format: Electronic
Language:English
Published: Milano : Springer Milan : Imprint: Springer, 2013.
Series:Springer INdAM Series, 3
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-88-470-2853-1
Table of Contents:
  • The shifted wave equation on Damek<U+0013>Ricci spaces and on homogeneous trees.- Invariance of capacity under quasisymmetric maps of the circle: an easy proof.- A Koksma<U+0013>Hlawka inequality for simplices.- A dual interpretation of the Gromov<U+0013>Thurston proof of Mostow rigidity and volume rigidity for representations of hyperbolic lattices.- The algebras generated by the Laplace operators in a semi-homogeneous tree.- Surjunctivity and reversibility of cellular automata over concrete categories.- Pointwise convergence of Bochner<U+0013>Riesz means in Sobolev spaces.- Sub-Finsler geometry and finite propagation speed.- On the boundary behavior of holomorphic and harmonic functions.- Constructing Laplacians on limit spaces of self-similar groups.- Some remarks on generalized Gaussian noise
  • Eigenvalues of the vertex set Hecke algebra of an affine building.- A Liouville type theorem for Carnot groups: a case study.- Stochastic properties of Riemannian manifolds and applications to PDE<U+0019>s
  • Characterization of Carleson measures for Besov spaces on homogeneous trees.- Atomic and maximal Hardy spaces on a Lie group of exponential growth.- The maximal singular integral: estimates in terms of the singular integral.