caa a22 4500 475839366 CHVBK 20180406123857.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1010772823312 doi (NATIONALLICENCE)springer-10.1023/A:1010772823312 Wiener-Itô Theorem in Terms of Wick Tensors [Elektronische Daten] [H.-H. Kuo, Y.-J. Lee, C.-Y. Shih] Wick tensors are used to describe homogeneous chaos and to define multiple Wiener integrals. The Wiener-Itô decomposition is expressed by the formula $$\varphi (x) = \sum\limits_{n = 0}^\infty {\frac{1}{{n!}}\int_B {[D^n (\mu \varphi )(0)]^ \sim}} (x + iy,...,x + iy)d\mu (y)$$ . We use this formula to interpret Hida's original idea of generalized multiple Wiener integrals as generalized functions acting on the space of test functions. Kluwer Academic Publishers, 2000 white noise analysis nationallicence Wiener measure nationallicence multiple Wiener integral nationallicence homogeneous chaos nationallicence Hermite polynomials nationallicence polarization identity nationallicence Kuo H.-H Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, U.S.A. aut Lee Y.-J Department of Mathematics, Cheng Kung University, 701, Tainan, Taiwan aut Shih C.-Y Department of Mathematics, Cheng Kung University, 701, Tainan, Taiwan aut Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 203-218 0167-8019 63:1-3<203 2000 63 10440 https://doi.org/10.1023/A:1010772823312 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1010772823312 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuo H.-H Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, U.S.A aut NATIONALLICENCE 700 1- Lee Y.-J Department of Mathematics, Cheng Kung University, 701, Tainan, Taiwan aut NATIONALLICENCE 700 1- Shih C.-Y Department of Mathematics, Cheng Kung University, 701, Tainan, Taiwan aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 63/1-3(2000-09-01), 203-218 0167-8019 63:1-3<203 2000 63 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer