| 书目名称 | Operational Calculus | | 编辑 | Gregers Krabbe | | 视频video | | | 图书封面 |  | | 描述 | 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). | | 出版日期 | Book 1970 | | 关键词 | calculus; distribution; growth; operational calculus | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4613-4392-9 | | isbn_softcover | 978-1-4613-4394-3 | | isbn_ebook | 978-1-4613-4392-9 | | copyright | Springer-Verlag Berlin Heidelberg 1970 |
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发表于 2025-3-21 16:25:36
