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math.PR2026
Quadratic Wiener functionals -- transformations and quadratic forms
Setsuo Taniguchi
Quadratic Wiener functionals are investigated systematically through transformations of order one on the Wiener space with the help of Malliavin calculus. The bi-directional relati…
math.PR2025
Transformations of order one and quadratic forms on Wiener spaces
Setsuo Taniguchi
It will be shown that transformations of order one on the Wiener space give rise to quadratic forms as exponents of change of variables formulas, and conversely every exponentially…
math.PR2024
Transformations and quadratic forms on Wiener spaces
Setsuo Taniguchi
Two-way relationships between transformations and quadratic forms on Wiener spaces are investigated with the help of change of variables formulas on Wiener spaces. Further the eval…