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Cover: 9783540579854 | White Noise Calculus and Fock Space | Nobuaki Obata | Taschenbuch | X
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White Noise Calculus and Fock Space
Taschenbuch von Nobuaki Obata
Sprache: Englisch

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Beschreibung
White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular,first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required.
White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space.This self-contained monograph presents, for the first time, a systematic introduction to operator theory on fock space by means of white noise calculus. The goal is a comprehensive account of general expansion theory of Fock space operators and its applications. In particular,first order differential operators, Laplacians, rotation group, Fourier transform and their interrelations are discussed in detail w.r.t. harmonic analysis on Gaussian space. The mathematical formalism used here is based on distribution theory and functional analysis , prior knowledge of white noise calculus is not required.
Inhaltsverzeichnis
Prerequisites.- White noise space.- White noise functionals.- Operator theory.- Toward harmonic analysis.- Addendum.
Details
Erscheinungsjahr: 1994
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: x
190 S.
ISBN-13: 9783540579854
ISBN-10: 3540579850
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Obata, Nobuaki
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 12 mm
Von/Mit: Nobuaki Obata
Erscheinungsdatum: 27.05.1994
Gewicht: 0,312 kg
Artikel-ID: 102037942
Inhaltsverzeichnis
Prerequisites.- White noise space.- White noise functionals.- Operator theory.- Toward harmonic analysis.- Addendum.
Details
Erscheinungsjahr: 1994
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: x
190 S.
ISBN-13: 9783540579854
ISBN-10: 3540579850
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Obata, Nobuaki
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 235 x 155 x 12 mm
Von/Mit: Nobuaki Obata
Erscheinungsdatum: 27.05.1994
Gewicht: 0,312 kg
Artikel-ID: 102037942
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