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arxiv: funct-an/9501006 · v2 · pith:TGBG7TNYnew · submitted 1995-01-25 · funct-an · math.FA· math.RT

Toward a general theory of transmutation

A. Boumenir (K.F.U.P.M , Dhahran , Saudi Arabia , visiting University of Illinois) , R. Carroll (Mathematics Dept. , University of Illinois , Urbana) This is my paper
classification funct-an math.FAmath.RT
keywords generaloperatorstransmutationanalyticityconstructiondevelopedeigenfunctionsgelfand
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A general construction of transmutation operators is developed for selfadjoint operators in Gelfand triples. Theorems regarding analyticity of generalized eigenfunctions and Paley-Wiener properties are proved.

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