List questions from pseudo-differential-operators

200

Views

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 18 Dec 2020 - 23:08

251

Views

How and when is the inverse Laplacian well-defined as a pseudo-differential operator?

Published on 20 Dec 2020 - 1:59

14

Views

Laplacian raised to positive integer

Published on 29 Dec 2020 - 12:12

74

Views

Justifying Interchange of Integral

Published on 02 Jan 2021 - 22:56

39

Views

Comparison of quantization procedures

Published on 13 May 2021 - 1:34

60

Views

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

Published on 17 May 2021 - 12:11

120

Views

What is a Symbol (as in "Symbol Calculus")?

Published on 25 May 2021 - 21:49

205

Views

Asymptotic Expansions of Symbols Vs Asymptotic Expansion of Pseudodifferential Operators

Published on 08 Jun 2021 - 6:47

60

Views

Isomorphism of Differential operator involving the Laplacian

Published on 03 Jul 2021 - 1:32

81

Views

Asymptotic expansions with compactly supported terms and smoothing operators

Published on 14 Sep 2021 - 16:23

102

Views

Composition of two differential operators . Laplacian operator.

Published on 21 Sep 2021 - 17:59

118

Views

Defect measure associated to a sequence of exponentials

Published on 08 Oct 2021 - 2:04

41

Views

Spectrum of the Weyl quantized operator $\mathrm{Op}\left(\sqrt{\frac{x^2+p^2}{2}}\right)$

Published on 23 Mar 2026 - 0:31

42

Views

Simple expression for $(-\Delta)^{\frac{3}{2}}$ in the spatial domain?

Published on 31 Jan 2022 - 14:36

109

Views

Extending symbol of pseudodifferential operator defined outside of a ball

Published on 18 Feb 2022 - 11:49

List Question

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) $

How and when is the inverse Laplacian well-defined as a pseudo-differential operator?

Laplacian raised to positive integer

Justifying Interchange of Integral

Comparison of quantization procedures

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

What is a Symbol (as in "Symbol Calculus")?

Asymptotic Expansions of Symbols Vs Asymptotic Expansion of Pseudodifferential Operators

Isomorphism of Differential operator involving the Laplacian

Asymptotic expansions with compactly supported terms and smoothing operators

Composition of two differential operators . Laplacian operator.

Defect measure associated to a sequence of exponentials

Spectrum of the Weyl quantized operator $\mathrm{Op}\left(\sqrt{\frac{x^2+p^2}{2}}\right)$

Simple expression for $(-\Delta)^{\frac{3}{2}}$ in the spatial domain?

Extending symbol of pseudodifferential operator defined outside of a ball

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