Linear algebraic foundations of the operational calculi

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Abstract

We construct an operational calculus for a modified shift operator on an abstract space of formal Laurent series. We show that this calculus is a universal model for a large number of operational calculi for several kinds of differential and difference operators.

MSC

44A45
44A40
26A33
13F25

Keywords

Operational calculus
Convolutions
Formal Laurent series
Mikusiński
Heaviside

Cited by (0)

1

Research partially supported by a graduate fellowship from CONACYT–Mexico.