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Complete Second Order Linear Differential Equations in Hilbert Spaces
Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (t) + Ay' (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems. Exhaustive yet clear answers to all posed questions are given. Special emphasis is placed on new surprising effects arising for complete second order equations which do not take place for first order and incomplete second order equations. For this purpose, some new results in the spectral theory of pairs of operators and the boundary behavior of integral transforms have been developed. The book serves as a self-contained introductory course and a reference book on this subject for undergraduate and post- graduate students and research mathematicians in analysis. Moreover, users will welcome having a comprehensive study of the equations at hand, and it gives insight into the theory of complete second order linear differential equations in a general context - a theory which is far from being fully understood.
Operator Theory and Its Applications
This volume contains a selection of papers presented at an international conference on operator theory and its applications held in Winnipeg. The papers chosen for this volume are intended to illustrate that operator theory is the language of modern analysis and its applications. Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas. The volume is dedicated to the late A. V. Strauss, whose principal areas of research were spectral theory of linear operators in Hilbert spaces, extension theory for symmetric linear operators, theory of the characteristic functions and functional models of linear operators, and boundary value problems with boundary conditions depending on spectral parameter. The bibliography of publications by A. V. Strauss combined with the papers from the conference provide both historical perspective and contemporary research on the field of operator theory and its applications.
Mathematical Reviews
None
The Cumulative Book Index
A world list of books in the English language.
Book Review Index
Vols. 8-10 of the 1965-1984 master cumulation constitute a title index.
Das Schweizer Buch
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Combined and Hybrid Adsorbents
This book follows up an Advanced Research Workshop dedicated to the subject of adsorption. It presents an up-to-date review of the latest achievements in the synthesis, characterization and applications of hybrid organic-inorganic materials and of carbon and combined adsorbents. The modeling of the adsorption process, including the simulation of carbon masks used for both civil and military protection purposes is also addressed. Includes applications in environmental, military and post-disaster situations.
