| 书目名称 | Operational Calculus |
| 编辑 | Gregers Krabbe |
| 视频video | http://file.papertrans.cn/702/702000/702000.mp4 |
| 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 |
|Archiver|手机版|小黑屋|
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