List questions from microlocal-analysis

36

Views

Show that the convolution $u\ast\psi$ between compactly supported tempered distribution $u$ and Schwartz function $\psi$ is a test function

Published on 15 Oct 2023 - 19:20

54

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‘Positive’ commutator argument to control norms of a distributions

Published on 17 Oct 2023 - 12:01

89

Views

Inequality involving the imaginary part of a Hermitian inner product

Published on 19 Oct 2023 - 14:01

87

Views

Convergence in $\mathcal{D}'(\mathbb{R})$ via stationary phase method

Published on 30 Oct 2023 - 3:28

46

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Local injectivity of bicharacteristic curves

Published on 06 Mar 2024 - 20:32

123

Views

Wavefront set of a smooth function

Published on 28 Jan 2015 - 20:51

116

Views

Resolvent estimate of hyperbolic Laplacian

Published on 21 May 2015 - 4:40

448

Views

Non-compactness of the resolvent

Published on 23 May 2015 - 0:27

159

Views

References for microlocal versions of some theorems

Published on 11 Jul 2015 - 0:52

418

Views

wave front set - directions of singularities

Published on 04 Oct 2015 - 19:11

257

Views

Characteristic Variety of the Principal Symbol solves PDE system?

Published on 13 Oct 2015 - 19:36

330

Views

Show that a regularizing operator $K : C_c(\Omega) \to \mathcal{D}'(\Omega)$ has kernel $k \in C^\infty(\Omega \times \Omega)$.

Published on 02 Mar 2026 - 4:22

94

Views

Continuity of smoothing operators

Published on 27 Feb 2026 - 23:42

1.1k

Views

Textbook/monograph for microlocal analysis

Published on 21 Jun 2016 - 2:04

1.4k

Views

Composition of pseudo-differential operators

Published on 25 Mar 2026 - 6:08

List Question

Show that the convolution $u\ast\psi$ between compactly supported tempered distribution $u$ and Schwartz function $\psi$ is a test function

‘Positive’ commutator argument to control norms of a distributions

Inequality involving the imaginary part of a Hermitian inner product

Convergence in $\mathcal{D}'(\mathbb{R})$ via stationary phase method

Local injectivity of bicharacteristic curves

Wavefront set of a smooth function

Resolvent estimate of hyperbolic Laplacian

Non-compactness of the resolvent

References for microlocal versions of some theorems

wave front set - directions of singularities

Characteristic Variety of the Principal Symbol solves PDE system?

Show that a regularizing operator $K : C_c(\Omega) \to \mathcal{D}'(\Omega)$ has kernel $k \in C^\infty(\Omega \times \Omega)$.

Continuity of smoothing operators

Textbook/monograph for microlocal analysis

Composition of pseudo-differential operators

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