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A new theory of Operational Calculus

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Warmus M.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS I. Introduction..................................................................................................................5 II. Ring ℛ. Subring ℱ.....................................................................................................7 III. Class C. Distributions. Congruent functions......................................................10 IV. Distribution ring........................................................................................................20 V. Quotient functions and quotient distributions......................................................29 VI. Sequences of quotient distributions. Distributional convergence..................32 VII. Examples of applications......................................................................................37 VIII. Quotient field K....................................................................................................... 41 IX. A theory corresponding to Laplace Transformation..........................................43 References.....................................................................................................................46

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1 Warmus M.

1 1971

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A new theory of Operational Calculus