The Extended Field Of Operator Theory (operator Theory: Advances And Applications)

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This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. Topics include scattering and time varying systems, pseudodifferential and singular operators, weighted composition operators and hyperinvariant subspaces, and interpolation and lifting problems on Hilbert and Krein spaces.

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Operator Theory: Advances and Applications Vol. 171 Editor: I. Gohberg Editorial Office: School of Mathematical Sciences Tel Aviv University Ramat Aviv, Israel Editorial Board: D. Alpay (Beer-Sheva) J. Arazy (Haifa) A. Atzmon (Tel Aviv) J. A. Ball (Blacksburg) A. Ben-Artzi (Tel Aviv) H. Bercovici (Bloomington) A. Böttcher (Chemnitz) K. Clancey (Athens, USA) L. A. Coburn (Buffalo) R. E. Curto (Iowa City) K. R. Davidson (Waterloo, Ontario) R. G. Douglas (College Station) A. Dijksma (Groningen) H. Dym (Rehovot) P. A. Fuhrmann (Beer Sheva) B. Gramsch (Mainz) J. A. Helton (La Jolla) M. A. Kaashoek (Amsterdam) H. G. Kaper (Argonne) Subseries: Advances in Partial Differential Equations Subseries editors: Bert-Wolfgang Schulze Universität Potsdam Germany Sergio Albeverio Universität Bonn Germany S. T. Kuroda (Tokyo) P. Lancaster (Calgary) L. E. Lerer (Haifa) B. Mityagin (Columbus) V. Olshevsky (Storrs) M. Putinar (Santa Barbara) L. Rodman (Williamsburg) J. Rovnyak (Charlottesville) D. E. Sarason (Berkeley) I. M. Spitkovsky (Williamsburg) S. Treil (Providence) H. Upmeier (Marburg) S. M. Verduyn Lunel (Leiden) D. Voiculescu (Berkeley) D. Xia (Nashville) D. Yafaev (Rennes) Honorary and Advisory Editorial Board: C. Foias (Bloomington) P. R. Halmos (Santa Clara) T. Kailath (Stanford) H. Langer (Vienna) P. D. Lax (New York) M. S. Livsic (Beer Sheva) H. Widom (Santa Cruz) Michael Demuth Technische Universität Clausthal Germany Jerome A. Goldstein The University of Memphis, TN USA Nobuyuki Tose Keio University, Yokohama Japan The Extended Field of Operator Theory Michael A. Dritschel Editor Advances in Partial Differential Equations Birkhäuser Basel . Boston . Berlin Editor: Michael A. Dritschel School of Mathematics and Statistics University of Newcastle Newcastle upon Tyne NE1 7RU UK e-mail: [email protected] 0DWKHPDWLFV 6XEMHFW &ODVVL¿FDWLRQ ( * 5 $ ( 3 ( $ % * ) /LEUDU\ RI &RQJUHVV &RQWURO 1XPEHU %LEOLRJUDSKLF LQIRUPDWLRQ SXEOLVKHG E\ 'LH 'HXWVFKH %LEOLRWKHN 'LH 'HXWVFKH %LEOLRWKHN OLVWV WKLV SXEOLFDWLRQ LQ WKH 'HXWVFKH 1DWLRQDOELEOLRJUD¿H GHWDLOHG bibliographic data is available in the Internet at . ,6%1 % 9HUODJ %DVHO ± %RVWRQ ± %HUOLQ ,6%1 %LUNKlXVHU 9HUODJ $* %DVHO ± %RVWRQ ± %HUOLQ 7KLV ZRUN LV VXEMHFW WR FRS\ULJKW $OO ULJKWV DUH UHVHUYHG ZKHWKHU WKH ZKROH RU SDUW RI WKH PDWHULDO LV FRQFHUQHG VSHFL¿FDOO\ WKH ULJKWV RI WUDQVODWLRQ UHSULQWLQJ UH XVH RI LOOXVWUDWLRQV UHFLWDWLRQ EURDGFDVWLQJ UHSURGXFWLRQ RQ PLFUR¿OPV RU LQ RWKHU ZD\V DQG VWRUDJH LQ GDWD EDQNV )RU DQ\ NLQG RI XVH SHUPLVVLRQ RI WKH FRS\ULJKW RZQHU PXVW EH obtained. %LUNKlXVHU 9HUODJ $* 3 2 %R[ &+ %DVHO 6ZLW]HUODQG 3DUW RI 6SULQJHU 6FLHQFH %XVLQHVV 0HGLD 3ULQWHG RQ DFLG IUHH SDSHU SURGXFHG IURP FKORULQH IUHH SXOS 7&) f &RYHU GHVLJQ +HLQ] +LOWEUXQQHU %DVHO 3ULQWHG LQ *HUPDQ\ ,6%1 H ,6%1 ,6%1 H ,6%1