Difference Equations in Spaces of Regular Functions: a tribute to Salvatore Pincherle

Irene Sabadini () and Daniele C. Struppa ()
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Irene Sabadini: Politecnico di Milano, Dipartimento di Matematica
Daniele C. Struppa: Chapman University, Schmid College of Science

A chapter in Mathematicians in Bologna 1861–1960, 2012, pp 427-438 from Springer

Abstract: Abstract In [14], Pincherle studies the surjectivity of a difference operator with constant coefficients in the space of holomorphic functions. In this paper, we discuss how this work can be rephrased in the context of modern functional analysis and we conclude by extending his results and we show that difference equations act surjectively on the space of quaternionic regular functions.

Keywords: Differential Operator; Holomorphic Function; Difference Equation; Entire Function; Regular Function (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0227-7_18

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DOI: 10.1007/978-3-0348-0227-7_18

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