Heat Kernel and Hardy’s Theorem for Jacobi Transform

Citation:

T. KAWAZOE,LIU Jianming.Heat Kernel and Hardy’s Theorem for Jacobi Transform[J].Chinese Annals of Mathematics B,2003,24(3):359~366
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Authors:

T. KAWAZOE; LIU Jianming

Foundation:

Project supported by the National Natural Science Foundation of China (No.10001002).
Abstract: In this paper, the authors obtain sharp upper and lower bounds for the heat kernel associated with Jacobi transform, and get some analogues of Hardy’s Theorem for Jacobi transform by using the sharp estimate for the heat kernel.

Keywords:

Heat kernel, Jacobi transform, Uncertainty principle

Classification:

33C45, 43A90, 22E30
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