Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-10-102-28
DOI: https://dx.doi.org/10.15863/TAS.2021.10.102.28
Language: English
Citation: Halema, Z. Y. H. (2021). Application the transformation formula and applications to absolute continuity. ISJ Theoretical & Applied Science, 10 (102), 401-409. Soi: http://s-o-i.org/1.1/TAS-10-102-28 Doi: https://dx.doi.org/10.15863/TAS.2021.10.102.28 |
Pages: 401-409
Published: 30.10.2021
Abstract: Let K be a linear operator from H to H with discrete spectrum and let be the sequence of Eigen-values of K repeated according to their multiplicity. Let ?? be a real separable Hilbert space; smooth, ??-valued functionals on (W, H, ??) are functionals of the form with ?? and ?.
Key words: Sard Inequality, Wiener Space, Lebesgue measure, Jacobian determinant, Lagrangian function, Malliavin calculus, Hilbert-Schmidt norm.
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