Functional equations and matrix-valued spherical functions

• Autores: Henrik Stetkaer
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 69, Nº. 3, 2005, págs. 271-292
• Idioma: inglés
• DOI: 10.1007/s00010-004-2754-6
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• Resumen

  • 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.