Question

Orthogonal functions and different function arguments

score 264 · Answer 1 · 2026-03-21 21:51:24

264

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Orthogonal functions and different function arguments

Published on 21 Mar 2026 - 21:51

score 532 · Answer 2 · 2026-02-24 16:18:49

532

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How to construct a complete set in $L^2(\mathbb{R}^3)$ starting with the Spherical Harmonics?

Published on 24 Feb 2026 - 16:18

score 1.1k · Answer 3 · 2016-02-15 10:08:44

1.1k

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Eigenfunctions of the Dirichlet Laplacian in balls

Published on 15 Feb 2016 - 10:08

score 173 · Answer 4 · 2026-03-24 02:45:00

173

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Are spherical harmonics a basis for $H^1$?

Published on 24 Mar 2026 - 2:45

score 301 · Answer 5 · 2016-02-24 22:50:30

301

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What do these variables mean in regard to the wave equation and spherical waves?

Published on 24 Feb 2016 - 22:50

score 163 · Answer 6 · 2016-03-12 13:35:15

163

Views

How to prove the given property of spherical harmonics?

Published on 12 Mar 2016 - 13:35

score 132 · Answer 7 · 2026-03-26 04:35:13

132

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show that $\sum P(x,y) e^{x^2 + y^2}$ is a modular form over $\Gamma_0(4)$ where $P(x,y) = x^4 - 6 x^2 y^2 + y^4$

Published on 26 Mar 2026 - 4:35

score 873 · Answer 8 · 2016-04-15 19:28:43

873

Views

Are linearly independent harmonic polynomials orthogonal upon integration over the sphere?

Published on 15 Apr 2016 - 19:28

score 56 · Answer 9 · 2016-04-26 16:12:09

56

Views

An expository reference on spherical harmonics on $S^n$.

Published on 26 Apr 2016 - 16:12

score 96 · Answer 10 · 2016-04-27 15:02:15

96

Views

Proof of an inequality in spherical harmonics using Minkowski's inequality

Published on 27 Apr 2016 - 15:02

score 152 · Answer 11 · 2016-04-28 04:10:50

152

Views

Equality about integral on unit sphere, involving Lebesgue measure

Published on 28 Apr 2016 - 4:10

score 150 · Answer 12 · 2016-05-27 15:38:46

150

Views

Spherical Harmonic integration

Published on 27 May 2016 - 15:38

score 417 · Answer 13 · 2016-06-01 12:50:04

417

Views

Rotationally invariant function in three-sphere

Published on 01 Jun 2016 - 12:50

score 121 · Answer 14 · 2016-06-02 20:47:27

121

Views

Spherical functions which are invariant under a finite rotation group

Published on 02 Jun 2016 - 20:47

score 402 · Answer 15 · 2016-06-03 22:04:07

402

Views

When expanding a function in a sphere, why is the complex conjugate of the spherical harmonic function used to calculate the coefficients?

Published on 03 Jun 2016 - 22:04

List Question

Orthogonal functions and different function arguments

How to construct a complete set in $L^2(\mathbb{R}^3)$ starting with the Spherical Harmonics?

Eigenfunctions of the Dirichlet Laplacian in balls

Are spherical harmonics a basis for $H^1$?

What do these variables mean in regard to the wave equation and spherical waves?

How to prove the given property of spherical harmonics?

show that $\sum P(x,y) e^{x^2 + y^2}$ is a modular form over $\Gamma_0(4)$ where $P(x,y) = x^4 - 6 x^2 y^2 + y^4$

Are linearly independent harmonic polynomials orthogonal upon integration over the sphere?

An expository reference on spherical harmonics on $S^n$.

Proof of an inequality in spherical harmonics using Minkowski's inequality

Equality about integral on unit sphere, involving Lebesgue measure

Spherical Harmonic integration

Rotationally invariant function in three-sphere

Spherical functions which are invariant under a finite rotation group

When expanding a function in a sphere, why is the complex conjugate of the spherical harmonic function used to calculate the coefficients?

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