Expository Lecture s from th e CBMS Regional Conferenc e held at Cas e Western Reserve Universit y September 10-14 , 198 4 Research supporte d by National Scienc e Foundation Gran t DMS-8403561. 1980 Mathematics Subject Classifications (198 5 Revision). Primar y 30D50 , 30E05, 46E20, 46E40, 47-02, 47A15. Library of Congress Cataioging-in-Publication Dat a Dym, H. (Harry) , 1938 - J contractive matri x functions , reproducin g kernel Hubert Space s and interpolation/Harry Dym . p. cm. —(Regional Conference serie s in mathematics/Conference Boar d of the Mathematical Sciences no. 71 ) "Lectures from th e CBMS regional Conference hel d at Case Western University , September 10-14 , 1984"-T.p . verso. Bibliography: p . ISBN 0-8218-0722-6 (alk . paper) 1. Functions o f complex variables. 2 . Huber t Spaces . 3 . Interpolation. I . Title. I L Series: Regiona l Conference serie s in mathematics no. 71. QA1.R33 no . 71 [QA331.7] 510 s—dc20 89-680 2 [515/9] CI P Copying an d reprinting. Individua l reader s o f thi s publication , an d nonprofi t librarie s actin g fo r them, ar e permitte d t o mak e fai r us e of th e material , suc h a s to cop y a n articl e fo r us e i n teachin g o r research. Permissio n i s granted t o quot e brie f passage s fro m thi s publicatio n i n reviews , provide d th e customary acknowledgment o f the source is given. Republication, systemati c copying, or multiple reproduction o f any material in this publication (in - cluding abstracts) i s permitted onl y under license from th e American Mathematical Society. Request s for such permission should be addressed to the Executive Director, American Mathematical Society, P.O. Box 6248, Providence, Rhode Island 02940. The owner consents to copying beyond that permitted by Sections 10 7 or 10 8 of the U.S. Copyright Law, provide d tha t a fe e o f $1.0 0 plu s $.2 5 pe r pag e fo r eac h cop y b e pai d directl y t o th e Copyrigh t Clearance Center , Inc. , 2 1 Congres s Street , Salem , Massachusett s 01970 . Whe n payin g thi s fe e pleas e use the code 0160-7642/8 9 t o refe r t o this publication. Thi s consent doe s not exten d t o other kind s of copying, such as copying for general distribution, for advertising or promotion purposes, for creating new collective works, or for resale. Copyright (c) 1989 by the American Mathematica l Society . Al l rights reserved. Printed i n the United State s of America The American Mathematica l Societ y retains all rights except those granted to the United State s Government. The paper used in this book is acid-free an d falls within the guidelines established to ensure permanence and durability. © This publication wa s typeset using A}^S-1^K, the American Mathematica l Society' s TgX macro System.
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