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.
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The authors are grateful to Professor S. Coen for inviting them to contribute to the volume.
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Sabadini, I., Struppa, D.C. (2012). Difference Equations in Spaces of Regular Functions: a tribute to Salvatore Pincherle. In: Coen, S. (eds) Mathematicians in Bologna 1861–1960. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0227-7_18
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DOI: https://doi.org/10.1007/978-3-0348-0227-7_18
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