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Semi-Groups of Operators and Approximation (Paperback, Softcover reprint of the original 1st ed. 1967)
Loot Price: R2,634
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Semi-Groups of Operators and Approximation (Paperback, Softcover reprint of the original 1st ed. 1967)
Series: Grundlehren der mathematischen Wissenschaften, 145
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In recent years important progress has been made in the study of
semi-groups of operators from the viewpoint of approximation
theory. These advances have primarily been achieved by introducing
the theory of intermediate spaces. The applications of the theory
not only permit integration of a series of diverse questions from
many domains of mathematical analysis but also lead to significant
new results on classical approximation theory, on the initial and
boundary behavior of solutions of partial differential equations,
and on the theory of singular integrals. The aim of this book is to
present a systematic treatment of semi groups of bounded linear
operators on Banach spaces and their connec tions with
approximation theoretical questions in a more classical setting as
well as within the setting of the theory of intermediate spaces.
However, no attempt is made to present an exhaustive account of the
theory of semi-groups of operators per se, which is the central
theme of the monumental treatise by HILLE and PHILLIPS (1957).
Neither has it been attempted to give an account of the theory of
approximation as such. A number of excellent books on various
aspects of the latter theory has appeared in recent years, so for
example CHENEY (1966), DAVIS (1963), LORENTZ (1966), MEINARDUS
(1964), RICE (1964), SARD (1963). By contrast, the present book is
primarily concerned with those aspects of semi-group theory that
are connected in some way or other with approximation."
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