Gaussian kernel operators on white noise functional spaces |
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| Authors: | LUO Shunlong YAN Jiaan |
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| Institution: | Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The Gaussian kernel operators on white noise functional spaces, including second quantization, Fourier-Mehler transform, scaling,
renormalization, etc. are studied by means of symbol calculus, and characterized by the intertwining relations with annihilation
and creation operators. The infinitesimal generators of the Gaussian kernel operators are second order white noise operators
of which the number operator and the Gross Laplacian are particular examples. |
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| Keywords: | Gaussian kernel operators symbols Laplacians |
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