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Operational Calculus

Operational Calculus

Gregers Krabbe

65,92 €
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Editorial:
Springer Nature B.V.
Año de edición:
2012
Materia
Ciencia: cuestiones generales
ISBN:
9783642877063
65,92 €
IVA incluido
Disponible

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Sobre IBD

Since the publication of an article by G. DOETSCH in 1927 it has been known that the Laplace transform procedure is a reliable sub­ stitute for HEAVISIDE’S operational calculus*. However, the Laplace transform procedure is unsatisfactory from several viewpoints (some of these will be mentioned in this preface); the most obvious defect: the procedure cannot be applied to functions of rapid growth (such as the 2 function t ~ exp (t )). In 1949 JAN MIKUSINSKI indicated how the un­ necessary restrictions required by the Laplace transform can be avoided by a direct approach, thereby gaining in notational as well as conceptual simplicity; this approach is carefully described in MIKUSINSKI’S textbook 'Operational Calculus' [M 1J. . The aims of the present book are the same as MIKUSINSKI’S [M 1J: a direct approach requiring no un-necessary restrictions. The present operational calculus is essentially equivalent to the 'calcul symbolique' of distributions having left-bounded support (see 6.52 below and pp. 171 to 180 of the textbook 'Theorie des distributions' by LAURENT SCHWARTZ).

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