LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515
Title	Operational Calculus ([EBook] /) / by Gregers Krabbe.
Author	Krabbe, Gregers
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : : Springer US : : Imprint: Springer, , 1970.
Physical Details	XVI, 349 p. 13 illus. : online resource.
ISBN	9781461343929
Summary Note	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).:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-4392-9
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Integral transforms . Integral Transforms, Operational Calculus . Mathematical analysis . Mathematics . Operational calculus . Science . Science, general . Authors: Krabbe, Gregers . Corporate Authors: SpringerLink (Online service) . Classification: 515 .

Catalogue Display

Operational Calculus

Reviews