1930•Bell System Technical JournalRequires access

Notes on the Heaviside Operational Calculus

John R. Carson

Abstract

This paper briefly discusses the following topics: (1) the asymptotic solution of operational equations; (2) Bromwich's formulation of the Heaviside problem, and its relation to the classical Fourier integral; and (3) the existence of solutions of the operational equation. The paper closes with some general remarks on the interpretation of the operator and the operational equation, emphasizing the purely symbolic character of the latter.

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Key concepts: Operational calculus, Heaviside step function, Calculus (dental), Mathematics, Relation (database), Interpretation (philosophy), Character (mathematics), Operator (biology)