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<p>Using the Malliavin-Skorokhod dual relations, the operator calculus on Weyl-Schrödinger representations for countable products of Heisenberg matrix groups with entries in Wiener spaces is developed. Applications to Bernstein-Jackson inequalities for approximations of Skorokhod discrete divergences by decreasing rearrangements of coherent states are presented.</p>

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Malliavin Operator Calculus on Countable Products of Heisenberg Matrix Groups

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月16日

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  • Oleh Lopushansky

摘要

Using the Malliavin-Skorokhod dual relations, the operator calculus on Weyl-Schrödinger representations for countable products of Heisenberg matrix groups with entries in Wiener spaces is developed. Applications to Bernstein-Jackson inequalities for approximations of Skorokhod discrete divergences by decreasing rearrangements of coherent states are presented.