Generalized functions in infinite dimensional analysis

DOI10.32917/hmj/1206126760zbMath0929.46031arXivmath/0211196OpenAlexW1928264715WikidataQ128870825 ScholiaQ128870825MaRDI QIDQ1268691

Werner Westerkamp, Yuri G. Kondratiev, Jia'an Yan, Ludwig Streit

Publication date: 25 January 2000

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211196

zbMATH Keywords

representation theoremWick productpositive distributionsnuclear spaces\(C_\mu\)-transform convolution\(S_\mu\)-transformanalytic measurebiorthogonal Appell systemsinfinite-dimensional non-Gaussian analysismeasures of Poisson type

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25)

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