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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Gaussian Harmonic Analysis
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Gaussian Harmonic Analysis
Wilfredo Urbina-Romero (Gebundene Ausgabe, Englisch)
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Beschreibung
Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is… assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory; also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books; also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
04.07.2019
Sprache
Englisch
EAN
9783030055967
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Monographs in Mathematics
Sonderedition
Nein
Autor
Wilfredo Urbina-Romero
Seitenanzahl
477
Einbandart
Gebundene Ausgabe
Schlagwörter
Gaussian measure, Hermite polynomial expansions, Ornstein-Uhlenbeck operator, Ornstein-Uhlenbeck semigroup, Poisson-Hermite semigroup, covering lemmas for the Gaussian measure, maximal functions with respect to the Gaussian measure, Gaussian Littlewood-Paley functions, Gaussian spectral multipliers, Gaussian fractional integrals and fractional derivatives, Gaussian singular integrals
Thema-Inhalt
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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