Authors:Yu. V. Egorov, M. A. Shubin,
Publisher: Springer
Keywords: encyclopaedia, mathematical, sciences, operators, parabolic, differential, equations, elliptic, partial
Number of Pages: 325
Published: 1994-06
List price: $145.00
ISBN-10: 0387546782
ISBN-13: 9780387546780

This volume of the EMS contains three contributions covering topics in the field of partial differential equations: Elliptic operators on closed manifolds, degenerating elliptic equations and boundary problems, and parabolic equations. All the authors are well-known researchers and they present their material as accessible surveys enabling readers to find comprehensive coverage of results which are scattered throughout the literature. For this reason the book is a unique source of information. It forms part of a multi-volume subseries of the EMS devoted to partial differential equations and it

Authors:P.D. Hislop, I.M. Sigal,
Publisher: Springer
Keywords: applied, mathematical, sciences, operators, schrã¶dinger, spectral, theory, applications, introduction
Number of Pages: 361
Published: 1995-11-16
List price: $132.00
ISBN-10: 0387945016
ISBN-13: 9780387945019

The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance.A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundame

Authors:David E. Edmunds, V. Kokilashvili, Alexander Meskhi,
Publisher: Springer
Keywords: mathematics, applications, operators, integral, compact, bounded
Number of Pages: 660
Published: 2002-05-31
List price: $319.00
ISBN-10: 1402006195
ISBN-13: 9781402006197

The monograph presents some of the authors’ recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces. It focuses on integral operators naturally arising in boundary value problems for PDE, the spectral theory of differential operators, continuum and quantum mechanics, stochastic processes, etc. The book may be considered as a systematic and detailed analysis of a large class of specific integral operators from the boundedness and compactn

Authors:Vicenç Torra, Yasuo Narukawa,
Publisher: Springer
Keywords: operators, cognitive, technologies, aggregation, fusion, decisions, information, modeling
Number of Pages: 284
Published: 2007-06-11
List price: $79.95
ISBN-10: 3540687890
ISBN-13: 9783540687894

Information fusion techniques and aggregation operators produce the most comprehensive, specific datum about an entity using data supplied from different sources, thus enabling us to reduce noise, increase accuracy, summarize and extract information, and make decisions. These techniques are applied in fields such as economics, biology and education, while in computer science they are particularly used in fields such as knowledge-based systems, robotics, and data mining. This book covers the underlying science and application issues related to aggregation operators, focusing on tools used in p

Authors:Carl C. Cowen, Barbara I. Maccluer,
Publisher: CRC-Press
Keywords: studies, advanced, mathematics, functions, analytic, operators, space, composition
Number of Pages: 400
Published: 1995-06-30
List price: $79.95
ISBN-10: 0849384923
ISBN-13: 9780849384929

The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces. Nine chapters introduce the main analyt

Authors:Robert L. Ellis, Israel Gohberg,
Publisher: Birkhäuser Basel
Keywords: theory, advances, applications, operator, operators, systems, convolution, orthogonal
Number of Pages: 248
Published: 2003-01
List price: $189.00
ISBN-10: 3764369299
ISBN-13: 9783764369293

The main concern of this book is the distribution of zeros of polynomials that are orthogonal on the unit circle with respect to an indefinite weighted scalar or inner product. The first theorem of this type, proved by M. G. Krein, was a far-reaching generalization of G. Szegö’s result for the positive definite case. A continuous analogue of that theorem was proved by Krein and H. Langer. These results, as well as many generalizations and extensions, are thoroughly treated in this book. A unifying theme is the general problem of orthogonalization with invertible squares in modules ov

Author: Adele Zucchi
Publisher: American Mathematical Society
Keywords: memoirs, american, mathematical, society, regions, connected, class, spectra, multiply, operators
Number of Pages: 52
Published: 1997-06
List price: $37.00
ISBN-10: 0821806262
ISBN-13: 9780821806265

Let $Omega$ be a bounded finitely connected region in the complex plane, whose boundary $Gamma$ consists of disjoint, analytic, simple closed curves. The author considers linear bounded operators on a Hilbert space $H$ having $overline Omega$ as spectral set, and no normal summand with spectrum in $gamma$. For each operator satisfying these properties, the author defines a weak$^*$-continuous functional calculus representation on the Banach algebra of bounded analytic functions on $Omega$. An operator is said to be of class $C_0$ if the associated functional calculus has a