List questions from microlocal-analysis

Published on 25 Mar 2026 - 19:00

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Applications of Microfunctions

Published on 10 Apr 2026 - 16:58

253

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semiclassical principal symbol

Published on 10 Apr 2026 - 19:27

78

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When it is possible to integrate an oscillatory integral?

Published on 25 Mar 2026 - 17:37

282

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Wave front set of vector-valued Dirac delta distribution

Published on 30 Apr 2026 - 22:52

83

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If $F(x,a) \in C^\infty$ and $DF_x(x_0, a_0)$ is nonsingular , is $x \to F(x,a)$ a diffeomorphism for all $a$ near $a_0$?

Published on 25 Mar 2026 - 17:44

294

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Extension of Pseudodifferential Operator to the real line

Published on 25 Mar 2026 - 9:27

84

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Maths and Economics

Published on 24 Apr 2026 - 14:43

588

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The inverse of a $\Psi$DO is a $\Psi$DO

Published on 25 Mar 2026 - 11:02

160

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ELI5: what Microlocal analysis (generalization of Fourier analysis) generalizes? What does it do?

Published on 25 Mar 2026 - 17:43

53

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Heuristics of overdetermined systems made precise

Published on 25 Mar 2026 - 17:43

201

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What is the meaning of $\flat$ and $\sharp$ in this smoothing operator? $M^\sharp(x,\xi)=\sum_k \Psi_0(2^{-k\delta}D)m_k(x)\;\psi_{k+1}(\xi) $

Published on 25 Mar 2026 - 12:28

222

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What is an analytic coefficient? (Kashiwara)

Published on 03 May 2026 - 23:24

87

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How definition of wavefront set capture non smoothness in particular direction?

Published on 25 Mar 2026 - 20:41

63

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Product with a smooth function, Sobolev regularity and pseudo-differential operator

Published on 13 Apr 2026 - 15:52

List Question

Implicit function theorem for pseudo-differential operators

Applications of Microfunctions

semiclassical principal symbol

When it is possible to integrate an oscillatory integral?

Wave front set of vector-valued Dirac delta distribution

If $F(x,a) \in C^\infty$ and $DF_x(x_0, a_0)$ is nonsingular , is $x \to F(x,a)$ a diffeomorphism for all $a$ near $a_0$?

Extension of Pseudodifferential Operator to the real line

Maths and Economics

The inverse of a $\Psi$DO is a $\Psi$DO

ELI5: what Microlocal analysis (generalization of Fourier analysis) generalizes? What does it do?

Heuristics of overdetermined systems made precise

What is the meaning of $\flat$ and $\sharp$ in this smoothing operator? $M^\sharp(x,\xi)=\sum_k \Psi_0(2^{-k\delta}D)m_k(x)\;\psi_{k+1}(\xi) $

What is an analytic coefficient? (Kashiwara)

How definition of wavefront set capture non smoothness in particular direction?

Product with a smooth function, Sobolev regularity and pseudo-differential operator

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