$J$ Contractive Matrix Functions, Reproducing Kernel Hilbert Spaces and Interpolation
by
Harry Dym
Book Details
Format
Paperback / Softback
Book Series
CBMS Regional Conference Series in Mathematics
ISBN-10
0821807226
ISBN-13
9780821807224
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Dec 30th, 1989
Print length
160 Pages
Weight
280 grams
Dimensions
18.20 x 30.70 x 1.50 cms
Product Classification:
Mathematics
Ksh 5,400.00
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Presents an introduction to the theory and applications of $J$ inner matrices. This book discusses matrix interpolation problems including two-sided tangential problems of both the Nevanlinna-Pick type and the Caratheodory-Fejer type, as well as mixtures of these.
This book evolved from a set of lectures presented under the auspices of the Conference Board of Mathematical Sciences at the Case Institute of Technology in September 1984. The original objective of the lectures was to present an introduction to the theory and applications of $J$ inner matrices. However, in revising the lecture notes for publication, the author began to realize that the spaces ${\mathcal H}(U)$ and ${\mathcal H}(S)$ are ideal tools for treating a large class of matrix interpolation problems including ultimately two-sided tangential problems of both the Nevanlinna-Pick type and the Caratheodory-Fejer type, as well as mixtures of these. Consequently, the lecture notes were revised to bring ${\mathcal H}(U)$ and ${\mathcal H}(S)$ to center stage. This monograph is the first systematic exposition of the use of these spaces for interpolation problems.
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