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New Aspects in Interpolation and Completion Theories (Hardcover)
Loot Price: R2,457
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New Aspects in Interpolation and Completion Theories (Hardcover)
Series: Operator Theory: Advances and Applications, v. 64
Expected to ship within 12 - 17 working days
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This volume consists of eight papers on new advances in
interpolation theory for matrix functions and completion theory for
matrices and operators. Much emphasis is placed on different
interpolation and completion problems when the interpolant is
estimated in two different norms. The book also focusses on the
study of the spectra of different completions of 2 x 2 block
matrices when originally all entries are specified except the lower
left corner. A third theme concerns two-sided tangential
interpolation problems for real rational matrix functions, and also
for the time varying case. A tangential moment problem is also
analyzed. All papers deal with related problems of modern matrix
analysis, operator theory, complex analysis and system theory and
will appeal to a wide group of mathematicians and engineers. The
material can be used for advance courses and seminars. Contents:
Editorial Introduction ? D. Alpay/P. Loubaton: The tangential
trigonometric moment problem on an interval and related topics ? M.
Bakonyi/V.G. Kaftal/G. Weiss/H.J. Woerdeman: Maximum entropy and
joint norm bounds for operator extensions ? J.A. Ball/I.
Gohberg/M.A. Kaashoek: Bitangential interpolation for input-output
operators of time varying systems: the discrete time case ? J.A.
Ball/I. Gohberg/L. Rodman: Two-sided tangential interpolation of
real rational matrix functions ? H. Du/C. Gu: On the spectra of
operator completion problems ? C. Foias/A.E. Frazho/W.S. Li: The
exact H2 estimate for the central H interpolant ? A.E. Frazho/s.M.
Kherat: On mixed H2 - H tangential interpolation ? I. Gohberg/C.Gu:
On a completion problem for matrices
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