Boundedness and uniqueness of quaternion Weyl transform

Rupak K. Dalai,Somnath Ghosh,R. K. Srivastava

Journal of Pseudo-Differential Operators and Applications（2022）

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摘要

In this article, we prove that the quaternion Weyl transform (QWT) is a compact operator on L^2(ℝ^2,ℚ) for a certain class of symbols in L^r( ℝ^4,ℚ) when 1≤ r≤ 2, and unbounded for 2更多

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关键词

Fourier–Wigner transform, Quaternion Fourier transform, Uncertainty principle, Weyl transform, Primary 47G30, Secondary 42B10, 47B10

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