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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
White Noise Calculus and Fock Space

White Noise Calculus and Fock Space

Obata, Nobuaki

Paperback

Series: Lecture Notes in Mathematics, Book 1577

CalculusGeneral MathematicsPhysics

ISBN10: 3540579850
ISBN13: 9783540579854
Publisher: Springer
Published: May 27 1994
Pages: 190
Weight: 0.63
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English
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.

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