Mihai Pascu: Melin calculus on homogeneous Lie groups, 63-91

Abstract:

We provide a self-contained approach to two of Gowacki's theorems on convolution operators on homogeneous groups, namely the continuity of the product symbol in suitable symbol spaces, and sufficient conditions for $L^2$-boundedness.

Key Words: Pseudodifferential operators, homogeneous Lie groups, symbolic calculus, $L^{2}$-continuity.

2020 Mathematics Subject Classification: Primary 47G30; Secondary 22E25.

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