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White Noise Calculus and Fock Space (Paperback, 1994 ed.)
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White Noise Calculus and Fock Space (Paperback, 1994 ed.)
Series: Lecture Notes in Mathematics, 1577
Expected to ship within 10 - 15 working days
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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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