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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Distortion Theorems in Relation to Linear Integral Operators (Hardcover)
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Distortion Theorems in Relation to Linear Integral Operators (Hardcover)
Series: Mathematics and its Applications, v. 385
Expected to ship within 10 - 15 working days
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This text represents over 20 years of research on distortions of
functionals under actions of linear integral operators. It is
divided into two parts. The first part addresses linear integral
operators, establishing their properties and attempting to arrive
at both specializations as well as generalizations to be used in
the second part. The second part is devoted mainly to the
development of several kinds of distortions under actions of
integral operators for various familiar functionals. Among the
topics that are treated are absolute modulus, real part, range,
length and area, angular and derivative. Also, distortions on the
class of univalent functions and its subclasses, Caratheodory
class, and distortions by a differential operator are dealt with.
General
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