Marinus A. Kaashoek

Israel Gohberg

H. Langer

Myroslav L. Gorbachuk

V.M. Adamyan

Valentina I. Gorbachuka

G. Popov

The present book is the first of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The confer encefocused onthemain ideas, methods, results, andachievementsofM.G. Krein. This first volume is devoted to the theory of differential operators and related topics. It opens with a description of the conference, biographical material and a number of survey papers about the work of M.G. Krein. The main part of the book consists oforiginal research papers presenting the stateofthe art in the area ofdifferential operators. The second volume of these proceedings, entitled Operator Theory and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface............................................................. v Table of Contents VII Picture of M.G. Krein Xl About the Mark Krein International Conference . Mark Grigorevich Krein (A short biography) 5 I. Gohberg The Seminar on Ship Hydrodynamics, Organized by M.G. Krein 9 v.G. Sizov Review Papers: The Works ofM.G. Krein on Eigenfunction Expansion for Selfadjoint Operators and their Applications and Development 21 Yu.M. Berezansky M.G. Krein and the Extension Theory of Symmetric Operators.

Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine, August 18–22, 1997 Volume I

Differential Operators and Related Topics

H. Ziegler

G. Czihak

Ein solideres Fundament als diesen Lehrbuchklassiker kann sich kein angehender Biologe wünschen. Von der Zellbiologie bis zur Evolutionsbiologie, von der Genetik bis zur Ökologie - alle wichtigen Teildisziplinen werden von bekannten Wissenschaftlern und erfahrenen Dozenten umfassend und verständlich abgehandelt. Dabei wurde besonderer Wert auf die didaktische Aussagekraft der Abbildungen gelegt, deren Fülle die Attraktivität des Buches verstärkt. Biologiestudenten können sich mit diesem Lehrbuch gezielt auf die Vordiplomprüfung vorbereiten. Auch Biologielehrer und Oberstufenschüler mit besonderem Interesse an der Biologie werden für einen fundierten Überblick gerne zu diesem Lehrbuch greifen.

Ein Lehrbuch

Biologie

This volume is dedicated to Heinz Langer, a leading expert in spectral analysis and its applications, in particular to operators in spaces with an indefinite metric, on the occasion of his 60th birthday. The book begins with his biography and list of publications. It contains a selection of research papers, most of which are devoted to spectral analysis of operators or operator pencils with applications to ordinary and partial differential equations. Other papers deal with time-varying systems, interpolation and factorization problems, and topics from mathematical physics. About half of the papers contain further developments in the theory of operators in spaces with an indefinite metric and treat new applications. The book is of interest to a wide audience of pure and applied mathematicians.

The Heinz Langer Anniversary Volume

Contributions to Operator Theory in Spaces With an Indefinite Metric

H. Langer

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