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Analysis reveals that transformations on Wiener space yield quadratic forms, suggesting new pathways in variable change.
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 integrable quadratic form has a transformation of order one realizing the form in such a manner. Several expressions of corresponding change of variables formulas are also discussed.
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Setsuo Taniguchi (2025) studied this question.
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