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Titlebook: Recent Developments in Infinite-Dimensional Analysis and Quantum Probability; Papers in Honour of Luigi Accardi,Hui-Hsiung Kuo,Ludwig Stre

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书目名称Recent Developments in Infinite-Dimensional Analysis and Quantum Probability
副标题Papers in Honour of
编辑Luigi Accardi,Hui-Hsiung Kuo,Ludwig Streit
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图书封面Titlebook: Recent Developments in Infinite-Dimensional Analysis and Quantum Probability; Papers in Honour of  Luigi Accardi,Hui-Hsiung Kuo,Ludwig Stre
描述.Recent Developments in Infinite-Dimensional Analysis andQuantum. .Probability. is dedicated to Professor Takeyuki Hidaon the occasion of his 70th birthday. The book is more than acollection of articles. In fact, in it the reader will find aconsistent editorial work, devoted to attempting to obtain a unitarypicture from the different contributions and to give a comprehensiveaccount of important recent developments in contemporary white noiseanalysis and some of its applications. For this reason, not only thelatest results, but also motivations, explanations and connectionswith previous work have been included. .The wealth of applications, from number theory to signal processing,from optimal filtering to information theory, from the statistics ofstationary flows to quantum cable equations, show the power of whitenoise analysis as a tool. Beyond these, the authors emphasize itsconnections with practically all branches of contemporary probability,including stochastic geometry, the structure theory of stationaryGaussian processes, Neumann boundary value problems, and largedeviations.
出版日期Book 2001
关键词Finite; Manifold; Random variable; Variable; calculus; equation; function; geometry; statistics; theorem
版次1
doihttps://doi.org/10.1007/978-94-010-0842-6
isbn_softcover978-94-010-3842-3
isbn_ebook978-94-010-0842-6
copyrightSpringer Science+Business Media Dordrecht 2001
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Generalized Functions in Signal Theory,smission function cannot be defined. Starting from the requirements that have to be taken for a function space, if it should be suitable for a signal theory, generalized functions are introduced. Moreover, the connections between such a signal theory and the theory of white noise are discussed.
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Quantum Mechanics and Brownian Motions,ns of the quantum fluctuation within the framework of new quantization schemes, such as . and/or . quantizations, for increasing additional . time other than the ordinary one. On the same basis we also show that a D-dimensional quantum system is equivalent to a (D + 1)-dimensional classical system.
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