000 03593nam a22004337a 4500
001 sulb-eb0026117
003 BD-SySUS
005 20160413122609.0
007 cr nn 008mamaa
008 121205s2013 it | s |||| 0|eng d
020 _a9788847028531
_9978-88-470-2853-1
024 7 _a10.1007/978-88-470-2853-1
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
082 0 4 _a510
_223
245 1 0 _aTrends in Harmonic Analysis
_h[electronic resource] /
_cedited by Massimo A. Picardello.
264 1 _aMilano :
_bSpringer Milan :
_bImprint: Springer,
_c2013.
300 _aXII, 448 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer INdAM Series,
_x2281-518X ;
_v3
505 0 _aThe 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 Bochner–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’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.
520 _aThis 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).
650 0 _aMathematics.
650 1 4 _aMathematics.
650 2 4 _aMathematics, general.
700 1 _aPicardello, Massimo A.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9788847028524
830 0 _aSpringer INdAM Series,
_x2281-518X ;
_v3
856 4 0 _uhttp://dx.doi.org/10.1007/978-88-470-2853-1
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c48209
_d48209