Question

Does anybody know how to actually derive spherical harmonics in a way that is historically accurate and intuitive?

score 546 · Answer 1 · 2026-03-26 04:34:34

546

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Does anybody know how to actually derive spherical harmonics in a way that is historically accurate and intuitive?

Published on 26 Mar 2026 - 4:34

score 694 · Answer 2 · 2015-04-12 17:49:19

694

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the real part of a holomorphic function on C \ {0, 1}

Published on 12 Apr 2015 - 17:49

score 1.4k · Answer 3 · 2026-03-28 23:58:34

1.4k

Views

Laplace Equation on the Corners and Boundary of a Rectangle?

Published on 28 Mar 2026 - 23:58

score 396 · Answer 4 · 2015-04-13 21:07:34

396

Views

Construct holomorphic function from harmonic function

Published on 13 Apr 2015 - 21:07

score 132 · Answer 5 · 2015-04-15 17:49:16

132

Views

harmonic function. How to prove?

Published on 15 Apr 2015 - 17:49

score 4.5k · Answer 6 · 2015-04-18 01:50:45

4.5k

Views

Proof of Mean-value for Laplace's equation.

Published on 18 Apr 2015 - 1:50

score 2.1k · Answer 7 · 2015-04-20 03:31:27

2.1k

Views

Solving the Laplace equation in a rectangle, using the separation of variables

Published on 20 Apr 2015 - 3:31

score 127 · Answer 8 · 2015-04-20 06:09:09

127

Views

Find a harmonic function in the cylindrical shell between $r=a$ and $r=b$

Published on 20 Apr 2015 - 6:09

score 1k · Answer 9 · 2015-04-20 13:49:45

1k

Views

Solution of the Laplace equation in polar coordinate.

Published on 20 Apr 2015 - 13:49

score 1k · Answer 10 · 2015-04-21 01:39:05

1k

Views

Find a solution that satisfies Laplace's equation in polar coordinates

Published on 21 Apr 2015 - 1:39

score 855 · Answer 11 · 2026-03-26 16:26:28

855

Views

Proof of uniqueness for the Poisson equation

Published on 26 Mar 2026 - 16:26

score 113 · Answer 12 · 2026-03-26 12:47:00

113

Views

Linear span of poisson kernels dense in $L^1(\mathbb{T})$

Published on 26 Mar 2026 - 12:47

score 79 · Answer 13 · 2015-04-24 17:22:04

79

Views

If the integrals of a harmonic function over horizontal lines are uniformly bounded, it is identically zero

Published on 24 Apr 2015 - 17:22

score 475 · Answer 14 · 2015-04-25 15:01:09

475

Views

Finding all harmonic radial functions

Published on 25 Apr 2015 - 15:01

score 494 · Answer 15 · 2015-04-28 06:24:07

494

Views

No Generalization of Mean Value Property for harmonic functions?

Published on 28 Apr 2015 - 6:24

List Question

Does anybody know how to actually derive spherical harmonics in a way that is historically accurate and intuitive?

the real part of a holomorphic function on C \ {0, 1}

Laplace Equation on the Corners and Boundary of a Rectangle?

Construct holomorphic function from harmonic function

harmonic function. How to prove?

Proof of Mean-value for Laplace's equation.

Solving the Laplace equation in a rectangle, using the separation of variables

Find a harmonic function in the cylindrical shell between $r=a$ and $r=b$

Solution of the Laplace equation in polar coordinate.

Find a solution that satisfies Laplace's equation in polar coordinates

Proof of uniqueness for the Poisson equation

Linear span of poisson kernels dense in $L^1(\mathbb{T})$

If the integrals of a harmonic function over horizontal lines are uniformly bounded, it is identically zero

Finding all harmonic radial functions

No Generalization of Mean Value Property for harmonic functions?

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