On the Appell Transformation

Heinz Leutwiler
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Heinz Leutwiler: Mathematisches Institut der Universität Erlangen - Nürnberg

A chapter in Potential Theory, 1988, pp 215-222 from Springer

Abstract: Abstract The main purpose of this paper is to show that the well known Appell transformation [1] is essentially — i.e. up to compositions with the obvious transformations of the form (1.2) mentioned below — the only transformation, mapping one solution of the n-dimensional heat equation $$\Delta u\, = \,\frac{{\partial u}}{{\partial t}}$$ into another (see Corollary 2.2 for a precise statement).

Keywords: Precise Statement; Potential Theory; Orthogonal Matrix; Caloric Function; Arbitrary Vector (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0981-9_28

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DOI: 10.1007/978-1-4613-0981-9_28

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