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140122 ||| eng |
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|a 9781461343929
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| 100 |
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|a Krabbe, Gregors
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| 245 |
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|a Operational Calculus
|h Elektronische Ressource
|c by Gregors Krabbe
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| 250 |
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|a 1st ed. 1970
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| 260 |
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|a New York, NY
|b Springer US
|c 1970, 1970
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| 300 |
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|a XVI, 349 p. 13 illus
|b online resource
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| 653 |
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|a Humanities and Social Sciences
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| 653 |
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|a Humanities
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Social sciences
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| 653 |
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|a Analysis
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| 653 |
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|a Integral Transforms and Operational Calculus
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 028 |
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|a 10.1007/978-1-4613-4392-9
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| 856 |
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|u https://doi.org/10.1007/978-1-4613-4392-9?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515
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| 520 |
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|a 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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