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Titlebook: Operational Calculus; Gregers Krabbe Book 1970 Springer-Verlag Berlin Heidelberg 1970 calculus.distribution.growth.operational calculus

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發(fā)表于 2025-3-21 16:25:36 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Operational Calculus
編輯Gregers Krabbe
視頻videohttp://file.papertrans.cn/702/702000/702000.mp4
圖書封面Titlebook: Operational Calculus;  Gregers Krabbe Book 1970 Springer-Verlag Berlin Heidelberg 1970 calculus.distribution.growth.operational calculus
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
關鍵詞calculus; distribution; growth; operational calculus
版次1
doihttps://doi.org/10.1007/978-1-4613-4392-9
isbn_softcover978-1-4613-4394-3
isbn_ebook978-1-4613-4392-9
copyrightSpringer-Verlag Berlin Heidelberg 1970
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發(fā)表于 2025-3-21 22:53:58 | 只看該作者
Chapter 2, decomposition. The extremely simple worked-out examples in this chapter are intended to reveal the procedure that will be applied later on to more complicated situations — and, later still, generalized.
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發(fā)表于 2025-3-22 04:09:21 | 只看該作者
Book 1970IDE‘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 M
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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).978-1-4613-4394-3978-1-4613-4392-9
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Gregers Krabbein objektiv beobachtbare Preise transformiert. Im Mittelpunkt der Betrachtung steht die Analyse der individuellen Intra-day-Entscheidungsprozesse der Marktteilnehmer bezüglich der Durchführung von Kauf- und Verkaufaktionen.978-3-8244-7047-1978-3-322-90479-9
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