List questions from harmonic-analysis

128

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If a function, $\phi (x)$, has compact support and is in $L^2(\mathbb R)$, then is $x\phi (x) \in L^1(\mathbb R)$?

Published on 26 Mar 2026 - 6:21

251

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Booklist recommendation for Analysis Route.

Published on 26 May 2017 - 10:06

43

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an example for spherical harmonic

Published on 26 May 2017 - 10:30

113

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A proof of the definition of Haar functions.

Published on 27 Mar 2026 - 0:05

67

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mean value property of a bounded function

Published on 01 Jun 2017 - 10:25

56

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Relation between "intrinsic" and "extrinsic" definition of Bessel potential spaces

Published on 29 Mar 2026 - 12:41

2.6k

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Sinc function vs Dirichlet kernel

Published on 07 Apr 2026 - 19:00

216

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Decay of positive definite functions in Lp

Published on 01 Jun 2017 - 19:31

820

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Integration with respect to distribution function in Stein's book

Published on 04 Jun 2017 - 9:42

98

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All convolution powers exist in $\ell^2$. Does the convolution theorem still hold?

Published on 04 Jun 2017 - 22:13

524

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Relationship between the Wronskian and the Gramian

Published on 23 Feb 2026 - 15:24

50

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Clarifycation on an expression involving the derivative of a Legendre Polynomial

Published on 27 Mar 2026 - 10:10

22.6k

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Fourier transform of a complex exponential

Published on 06 Jun 2017 - 10:17

95

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How to handle integrals of the form $\int_0^1 \sin^2(\pi x) f(x) dx$?

Published on 06 Jun 2017 - 19:43

140

Views

Harish-Chandra's submersive principle on closed subsets

Published on 27 Mar 2026 - 7:14

List Question

If a function, $\phi (x)$, has compact support and is in $L^2(\mathbb R)$, then is $x\phi (x) \in L^1(\mathbb R)$?

Booklist recommendation for Analysis Route.

an example for spherical harmonic

A proof of the definition of Haar functions.

mean value property of a bounded function

Relation between "intrinsic" and "extrinsic" definition of Bessel potential spaces

Sinc function vs Dirichlet kernel

Decay of positive definite functions in Lp

Integration with respect to distribution function in Stein's book

All convolution powers exist in $\ell^2$. Does the convolution theorem still hold?

Relationship between the Wronskian and the Gramian

Clarifycation on an expression involving the derivative of a Legendre Polynomial

Fourier transform of a complex exponential

How to handle integrals of the form $\int_0^1 \sin^2(\pi x) f(x) dx$?

Harish-Chandra's submersive principle on closed subsets

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