Background
Obata, Nobuaki was born on August 17, 1957 in Tokyo.
(White Noise Calculus is a distribution theory on Gaussian...)
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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Obata, Nobuaki was born on August 17, 1957 in Tokyo.
Bachelor of Science in Mathematics, Kyoto (Japan) University, 1981. Master of Science in Mathematics, Kyoto (Japan) University, 1984. Doctor of Philosophy in Mathematics, Nagoya (Japan) University, 1989.
Research associate Nagoya University, 1984-1991, associate professor, 1991-2001. Professor Tohoku University, Sendai, Japan, since 2001. Visiting research fellow Tübingen (Germany) University, 1989-1991.
(White Noise Calculus is a distribution theory on Gaussian...)
Member Mathematics Society Japan, International Association Mathematics Physics.
Married Atsue Kusano. Children: Noriko, Masafumi.