List questions from microlocal-analysis

Published on 06 May 2026 - 5:36

160

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

Published on 10 May 2026 - 9:22

107

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Applying propagator to Laplace eigenfunctions

Published on 05 May 2026 - 16:59

71

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

Published on 05 May 2026 - 8:33

42

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

Published on 03 Apr 2026 - 11:49

20

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Fixed points of operators with wavefront constraint

Published on 30 Apr 2026 - 3:01

693

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

Published on 25 Mar 2026 - 14:12

472

Views

Integration of multiplication of two generalized function

Published on 25 Mar 2026 - 14:13

64

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Wavefront set of a distribution and elliptic points on a manifold

Published on 25 Mar 2026 - 3:02

54

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Calculation of singular support

Published on 30 Apr 2026 - 8:47

52

Views

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

Published on 25 Mar 2026 - 4:40

95

Views

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

Published on 25 Mar 2026 - 14:16

73

Views

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

Published on 25 Mar 2026 - 4:36

32

Views

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

Published on 25 Mar 2026 - 12:53

34

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 25 Mar 2026 - 14:16

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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