ISBN: 9783540887447

This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harm… Mehr…

This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure— and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research which was initiated, a century ago, with two fundamental papers that I would like to discuss briefly. The first paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ¨ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer Berlin Heidelberg Core >1 >T<

2008, ISBN: 354088744X

2009 Kartoniert / Broschiert Analysis / Funktionalanalysis, Funktionalanalysis, Harmonische Analyse, Mathematische Analysis, allgemein, Funktionalanalysis und Abwandlungen, Differential… Mehr…

2009 Kartoniert / Broschiert Analysis / Funktionalanalysis, Funktionalanalysis, Harmonische Analyse, Mathematische Analysis, allgemein, Funktionalanalysis und Abwandlungen, Differentialrechnung und -gleichungen, Calderon-Zygmund operator; Calderon¿s identity; Fourier transform; Littlewood-Paley analysis; T1 theorem; Wavelets, mit Schutzumschlag 11, [PU:Springer Berlin Heidelberg; Springer-Verlag GmbH]<

2009, ISBN: 9783540887447

*Harmonic Analysis on Spaces of Homogeneous Type* - Auflage 2009 / Taschenbuch für 37.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardc… Mehr…

*Harmonic Analysis on Spaces of Homogeneous Type* - Auflage 2009 / Taschenbuch für 37.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein Buch (kartoniert) Hardcover;Naturwissenschaften, Medizin, Informatik, Technik;Analysis, Springer Berlin Heidelberg<

2008, ISBN: 9783540887447

In this book the authors generalize the construction of wavelet bases to spaces of homogeneous type. Wavelet bases are replaced by frames, which in many applications serve the same purpos… Mehr…

In this book the authors generalize the construction of wavelet bases to spaces of homogeneous type. Wavelet bases are replaced by frames, which in many applications serve the same purpose. Media Buch, 160 Seiten, Media > Books, Springer, 2008<