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Topics in Interpolation Theory (Hardcover)
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Topics in Interpolation Theory (Hardcover)
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This book is devoted primarily to topics in interpolation for
scalar, matrix and operator valued functions. About half the papers
are based on lectures which were delivered at a conference held at
Leipzig University in August 1994 to commemorate the 80th
anniversary of the birth of Vladimir Petrovich Potapov. The volume
also contains the English translation of several important papers
relatively unknown in the West, two expository papers written
especially for this volume, and historical material based on
reminiscences of former colleagues, students and associates of V.P.
Potapov. Numerous examples of interpolation problems of the
Nevanlinna-Pick and CarathA(c)odory-FejA(c)r type are included as
well as moment problems and problems of integral representation in
assorted settings. The major themes cover applications of the
Potapov method of fundamental matrix inequalities, multiplicative
decompositions of J-inner matrix valued functions, the abstract
interpolation problem, canonical systems of differential equations
and interpolation in spaces with an indefinite metric. This book
should appeal to a wide range of readers: mathematicians
specializing in pure and applied mathematics and engineers who work
in systems theory and control. The book will be of use to graduate
students and mathematicians interested in functional analysis.
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