Wilson’s functional equation in dimension 3

Sinopoulos, Pavlos

doi:10.1007/s00010-003-2680-z

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2004

2021

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Cited by 3 publications

(2 citation statements)

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“…were determined in [11] and [12] for n = 2 and n = 3 by using the two-and three-dimensional version of Wilson's functional equation…”

Section: Introductionmentioning

confidence: 99%

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Applications of Wilson’s functional equation

Sinopoulos

2004

Aequ. Math.

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“…were determined in [11] and [12] for n = 2 and n = 3 by using the two-and three-dimensional version of Wilson's functional equation…”

Section: Introductionmentioning

confidence: 99%

“…Using Lemma 1 and results of [2], [4], [5], [7], [10], [11], [12], [13] and [15], the general solutions f, g i , h i : G → F (i = 1, . .…”

Section: Introductionmentioning

confidence: 99%

Applications of Wilson’s functional equation

Sinopoulos

2004

Aequ. Math.

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Functional equations and matrix-valued spherical functions

Stetkær

2005

Aequ. math.

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We show that any solution of a certain functional equation, generalizing such equations as Wilson's, Levi-Cività's, Gajda's and the sine addition equation, can be expressed in terms of a matrix-valued spherical function. We compute this matrix-valued function for solutions of various functional equations, and use it to solve the equations. (2000). 39B32 and 43A90. Mathematics Subject Classification

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