List questions from spherical-harmonics

Published on 20 Mar 2020 - 20:36

25

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

Published on 27 Mar 2020 - 22:35

54

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

Published on 09 Apr 2020 - 18:02

52

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

Published on 12 Apr 2020 - 19:29

1.2k

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

Published on 15 Apr 2020 - 14:43

569

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Volume Integral of over a Tetrahedron in Cartesian Coordinates

Published on 16 Apr 2020 - 9:07

400

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 24 Apr 2020 - 8:33

171

Views

Legendre Expansions for Derivatives of Delta Function

Published on 24 Apr 2020 - 9:57

86

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Spherical average of a product of two vector lengths

Published on 01 May 2020 - 19:33

916

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Spherical Harmonics expansion

Published on 12 May 2020 - 16:40

36

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Find Fourier Transform of the even function

Published on 05 Jun 2020 - 13:24

31

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Spherical functions - symbol in solution

Published on 03 Jul 2020 - 19:18

107

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Normalizing constant of an exponential family of distributions with spherical harmonics

Published on 17 Jul 2020 - 18:02

23

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Decompose a product into angular harmonics

Published on 15 Jul 2020 - 1:57

59

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 20 Jul 2020 - 14:17

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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