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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Operational Calculus

Operational Calculus

Krabbe, Gregors

Paperback

General ReferenceGeneral MathematicsGeneral Science

ISBN10: 1461343941
ISBN13: 9781461343943
Publisher: Springer Nature
Published: Dec 6 2013
Pages: 349
Weight: 1.08
Height: 0.76 Width: 6.00 Depth: 9.00
Language: English
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 tr-+-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 1]. The aims of the present book are the same as MIKUSINSKI's [M 1]: 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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