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Field name	Details
Dewey Class	515.243
Title	Trends in Harmonic Analysis ([EBook]) / edited by Massimo A. Picardello.
Author	Picardello, Massimo A.
Other name(s)	SpringerLink (Online service)
Publication	Milano : Springer
Publication	, 2013.
Physical Details	XII, 447 pages : 27 illus. : online resource.
Series	Springer INdAM Series 2281-518X ; ; 3
ISBN	9788847028531
Summary Note	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).:
Contents note	The shifted wave equation on Damek-Ricci spaces and on homogeneous trees.-Invariance of capacity under quasisymmetric maps of the circle: an easy proof.-A Koksma-Hlawka inequality for simplices.-A dual interpretation of the Gromov-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 BochnerâRiesz means in Sobolev spaces.-Â 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'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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-88-470-2853-1
Links to Related Works	Subject References: Harmonic analysis . Mathematics, general . Authors: Picardello, Massimo A. . Corporate Authors: SpringerLink (Online service) . Series: Springer INdAM Series . Classification: 515.243 . 515.243 (DDC 23) .

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Trends in Harmonic Analysis

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