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Asymptotic Behavior Of Generalized Functions (Hardcover)
Loot Price: R2,948
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Asymptotic Behavior Of Generalized Functions (Hardcover)
Series: Series On Analysis, Applications And Computation, 5
Expected to ship within 12 - 17 working days
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The asymptotic analysis has obtained new impulses with the general
development of various branches of mathematical analysis and their
applications. In this book, such impulses originate from the use of
slowly varying functions and the asymptotic behavior of generalized
functions. The most developed approaches related to generalized
functions are those of Vladimirov, Drozhinov and Zavyalov, and that
of Kanwal and Estrada. The first approach is followed by the
authors of this book and extended in the direction of the
S-asymptotics. The second approach - of Estrada, Kanwal and Vindas
- is related to moment asymptotic expansions of generalized
functions and the Ces'aro behavior. The main features of this book
are the uses of strong methods of functional analysis and
applications to the analysis of asymptotic behavior of solutions to
partial differential equations, Abelian and Tauberian type theorems
for integral transforms as well as for the summability of Fourier
series and integrals. The book can be used by applied
mathematicians, physicists, engineers and others who use classical
asymptotic methods and wish to consider non-classical objects
(generalized functions) and their asymptotics now in a more
advanced setting.
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