List questions from microlocal-analysis

Published on 23 Mar 2026 - 6:05

158

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Show $(1+|\xi|^2)^{m/2}\in S^m$ (pseudo-differential operators)

Published on 22 Dec 2019 - 18:26

100

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Applying propagator to Laplace eigenfunctions

Published on 09 Mar 2026 - 7:44

63

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Is there a practical formula for quantization on arbitrary subsets of $\mathbb{R}^n$

Published on 04 Mar 2026 - 1:21

41

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Why is the Order of a Classical Symbol Well-defined?

Published on 09 Jun 2020 - 14:53

18

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Fixed points of operators with wavefront constraint

Published on 29 Jun 2020 - 15:14

692

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How to calculate the wave front set for the characteristic function of a 2-dimensional ball?

Published on 29 Aug 2016 - 0:58

471

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Integration of multiplication of two generalized function

Published on 29 Sep 2016 - 7:32

64

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Wavefront set of a distribution and elliptic points on a manifold

Published on 25 Mar 2026 - 3:02

51

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Calculation of singular support

Published on 04 Jun 2023 - 16:32

52

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Reference request on basic properties of the principal symbols of pseudodifferential operators

Published on 25 Mar 2026 - 4:40

94

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Understanding the support of a differential operator thought of as a tempered distribution from perspective of Schwartz kernel

Published on 07 Sep 2023 - 19:41

73

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How does one show that the operator whose kernel is properly supported is a smoothing operator?

Published on 25 Mar 2026 - 4:36

31

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Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

Published on 13 Sep 2023 - 12:44

33

Views

What does it mean for $(T_hf)(\xi) = O(h^K)$ for $K\in \mathbb{N}$ (or $K = \infty$) to hold "uniformly" in $h$, $0 < h \leq 1$?

Published on 29 Sep 2023 - 11:23

List Question

Symbol of a pseudo-differential operator. Hormander property and principal symbol

Show $(1+|\xi|^2)^{m/2}\in S^m$ (pseudo-differential operators)

Applying propagator to Laplace eigenfunctions

Is there a practical formula for quantization on arbitrary subsets of $\mathbb{R}^n$

Why is the Order of a Classical Symbol Well-defined?

Fixed points of operators with wavefront constraint

How to calculate the wave front set for the characteristic function of a 2-dimensional ball?

Integration of multiplication of two generalized function

Wavefront set of a distribution and elliptic points on a manifold

Calculation of singular support

Reference request on basic properties of the principal symbols of pseudodifferential operators

Understanding the support of a differential operator thought of as a tempered distribution from perspective of Schwartz kernel

How does one show that the operator whose kernel is properly supported is a smoothing operator?

Smoothness of heat kernel on Lipschitz and polygon (cornered) domain

What does it mean for $(T_hf)(\xi) = O(h^K)$ for $K\in \mathbb{N}$ (or $K = \infty$) to hold "uniformly" in $h$, $0 < h \leq 1$?

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