List questions from pseudo-differential-operators

202

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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 10 May 2026 - 15:03

254

Views

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

Published on 10 Apr 2026 - 1:04

17

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Laplacian raised to positive integer

Published on 11 Apr 2026 - 23:25

77

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Justifying Interchange of Integral

Published on 12 Apr 2026 - 2:06

42

Views

Comparison of quantization procedures

Published on 12 Apr 2026 - 9:04

64

Views

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

Published on 10 May 2026 - 16:09

123

Views

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

Published on 10 Apr 2026 - 18:55

207

Views

Asymptotic Expansions of Symbols Vs Asymptotic Expansion of Pseudodifferential Operators

Published on 10 May 2026 - 16:13

63

Views

Isomorphism of Differential operator involving the Laplacian

Published on 16 Apr 2026 - 4:51

86

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Asymptotic expansions with compactly supported terms and smoothing operators

Published on 27 Apr 2026 - 14:04

105

Views

Composition of two differential operators . Laplacian operator.

Published on 11 Apr 2026 - 19:41

119

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Defect measure associated to a sequence of exponentials

Published on 25 Mar 2026 - 12:24

51

Views

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

Published on 07 May 2026 - 11:55

45

Views

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

Published on 17 Apr 2026 - 10:02

112

Views

Extending symbol of pseudodifferential operator defined outside of a ball

Published on 12 Apr 2026 - 8:45

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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