List questions from spherical-harmonics

Published on 25 Mar 2026 - 15:58

26

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"eigenspaces of the Beltrami operator are one-dimensional." what does this mean?

Published on 25 Mar 2026 - 22:03

55

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Is there a real version of the non-commutative Fourier transform?

Published on 25 Mar 2026 - 16:01

53

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What are the matrix coefficients of the $SO(3)$ irrep of dim $k = 2m + 1$?

Published on 25 Mar 2026 - 22:05

1.2k

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Spherical harmonics and irreducible representations of $SO(2)$ and $SO(3)$

Published on 25 Mar 2026 - 17:40

570

Views

Volume Integral of over a Tetrahedron in Cartesian Coordinates

Published on 25 Mar 2026 - 16:02

401

Views

Proving a harmonic polynomial in $x$ and $y$ is a linear combination of $\Re(x+\mathrm iy)^n$ and $\Im(x+\mathrm iy)^n$

Published on 25 Mar 2026 - 17:42

172

Views

Legendre Expansions for Derivatives of Delta Function

Published on 25 Mar 2026 - 16:01

89

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Spherical average of a product of two vector lengths

Published on 11 Apr 2026 - 22:01

917

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Spherical Harmonics expansion

Published on 25 Mar 2026 - 17:35

37

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Find Fourier Transform of the even function

Published on 25 Mar 2026 - 17:38

32

Views

Spherical functions - symbol in solution

Published on 25 Mar 2026 - 16:06

108

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Normalizing constant of an exponential family of distributions with spherical harmonics

Published on 25 Mar 2026 - 16:03

26

Views

Decompose a product into angular harmonics

Published on 14 Apr 2026 - 7:03

60

Views

How prove $\int_{S^{n-1}}f(x\cdot \omega)\,d\omega=\int_{S^{n-1}}f(-x\cdot \omega)\,d\omega$

Published on 25 Mar 2026 - 17:42

List Question

Spherical Harmonics Expansion of Analytic Function derivation

"eigenspaces of the Beltrami operator are one-dimensional." what does this mean?

Is there a real version of the non-commutative Fourier transform?

What are the matrix coefficients of the $SO(3)$ irrep of dim $k = 2m + 1$?

Spherical harmonics and irreducible representations of $SO(2)$ and $SO(3)$

Volume Integral of over a Tetrahedron in Cartesian Coordinates

Proving a harmonic polynomial in $x$ and $y$ is a linear combination of $\Re(x+\mathrm iy)^n$ and $\Im(x+\mathrm iy)^n$

Legendre Expansions for Derivatives of Delta Function

Spherical average of a product of two vector lengths

Spherical Harmonics expansion

Find Fourier Transform of the even function

Spherical functions - symbol in solution

Normalizing constant of an exponential family of distributions with spherical harmonics

Decompose a product into angular harmonics

How prove $\int_{S^{n-1}}f(x\cdot \omega)\,d\omega=\int_{S^{n-1}}f(-x\cdot \omega)\,d\omega$

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