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Titlebook: White Noise Calculus and Fock Space; Nobuaki Obata Book 1994 Springer-Verlag Berlin Heidelberg 1994 calculus.distribution.functional analy

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書目名稱White Noise Calculus and Fock Space
編輯Nobuaki Obata
視頻videohttp://file.papertrans.cn/1028/1027989/1027989.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: White Noise Calculus and Fock Space;  Nobuaki Obata Book 1994 Springer-Verlag Berlin Heidelberg 1994 calculus.distribution.functional analy
描述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.
出版日期Book 1994
關(guān)鍵詞calculus; distribution; functional analysis; harmonic analysis; operator; operator theory
版次1
doihttps://doi.org/10.1007/BFb0073952
isbn_softcover978-3-540-57985-4
isbn_ebook978-3-540-48411-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1994
The information of publication is updating

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沙發(fā)
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Lecture Notes in Mathematicshttp://image.papertrans.cn/w/image/1027989.jpg
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https://doi.org/10.1007/BFb0073952calculus; distribution; functional analysis; harmonic analysis; operator; operator theory
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0075-8434 ned 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 expa
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Paul Thomasrrungenschaften der Genchemie auf dem Gebiete des Eiwei?stoffwechsels erzielt worden. Man nimmt heute an, da? die Desoxyribonucleins?ure der eigentliche Tr?ger der Erbeigenschaften ist. Die Desoxyribonucleins?ure des Zellkerns bildet gewisserma?en die Matritzen, in denen Lettern aus Ribonucleins?ure
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