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Operational Calculus / by Gregors Krabbe
版 | 1st ed. 1970. |
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出版者 | (New York, NY : Springer US : Imprint: Springer) |
出版年 | 1970 |
本文言語 | 英語 |
大きさ | XVI, 349 p. 13 illus : online resource |
著者標目 | *Krabbe, Gregors author SpringerLink (Online service) |
件 名 | LCSH:Mathematical analysis LCSH:Social sciences LCSH:Humanities FREE:Analysis FREE:Integral Transforms and Operational Calculus FREE:Humanities and Social Sciences |
一般注記 | 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) HTTP:URL=https://doi.org/10.1007/978-1-4613-4392-9 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781461343929 |
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EB00237079 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA299.6-433 DC23:515 |
書誌ID | 4000106125 |
ISBN | 9781461343929 |
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