Operators

The book is devoted to the theory of generalized inverses of operators in a Banach space and its applications to linear and weakly nonlinear boundary-value problems for various classes of functional-d

This book explores a new direction in linear algebra and operator theory dealing with the invariants of partially specified matrices and operators, and with the spectral analysis of their completions.

This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. The articles represent new directi

This work aims to give a systematic presentation of methods used in the spectral theory of non-selfadjoint, generally unbounded, operators. Subjects treated include the wide class of both selfadjo

The present monograph on matrix partial orders, appearing for the first time, is a unique presentation of many partial orders on matrices that have fascinated mathematicians for their beauty and appli

Vol. II of Lars Hormander's 4-volume treatise is mainly devoted to operators with constant coefficients. From the reviews: "...these volumes are excellently written and make for greatly profitable rea

The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. The first part of the book develops the necessary elements of the spectral theory of differential operators as well as the basic properties of elliptic second order differential operators. The author then introduces comparison algebras and describes their theory in L2-spaces and L2-Soboler spaces, and in particular their importance in solving functional analytic problems involving differential operators. The book is based on lectures given in Sweden and the USA.

Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their applications in a single volume. The first unit deals with basic formulation, both conceptual and theoretical. It discusses applications of algebraic operations, Levi-Civita notation, and curvilinear coordinate systems like spherical polar and parabolic systems and structures, and analytical geometry of curves and surfaces. The second unit delves into the algebra of operators and their types and also explains the equivalence between the algebra of vector operators and the algebra of matrices. Formulation of eigen vectors and eigen values of a linear vector operator are elaborated using vector algebra. The third unit deals with vector analysis, discussing vector valued functions of a scalar variable and functions of vector argument (both scalar valued and vector valued), thus covering both the scalar vector fields and vector integration.

This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus

This monograph covers monotone complete C*-algebras, their properties and the new classification theory, with an introduction of spectroid invariants and a classification semigroup. The purpose is to

The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. T

The analytic model represents a subnormal operator as the multiplication by the independent variable of a space of vector-valued functions that are analytic on the resolvent set of its normal extensio

The book deals with the localization approach to the index problem for elliptic operators. It covers both the general localization principle and its applications to specific problems, existing and new

?Hormander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients: this text provides the reader with a general overview of

The main goal of the book is to provide a comprehensive and self-contained proof of the, relatively recent, theorem of characterization of the strong maximum principle due to Molina-Meyer and the auth

In this book we study orthogonal polynomials and their generalizations in spaces with weighted inner products. The impetus for our research was a deep theorem due to M.G. Krein along with subsequent r

This volume contains solicited articles by speakers at the workshop ranging from expository surveys to original research papers, each of which carefully refereed. They all bear witness to the very ric

Robot and Multibody Dynamics: Analysis and Algorithms provides a comprehensive and detailed exposition of a new mathematical approach, referred to as the Spatial Operator Algebra (SOA), for studying t

This book draws together nine original investigations by leading linguists and promising young scholars on the syntax of complementisers (eg that in She said that she would) and their phrases. The ch

This book draws together nine original investigations by leading linguists and promising young scholars on the syntax of complementisers (eg that in She said that she would) and their phrases. The ch

From the reviews: "Volumes III and IV complete L. Hormander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author

Compact treatment highlights logic and simplicity of the mathematical structure of quantum mechanics. Suitable for advanced undergraduates and graduate students, it treats the language of quantum mech

After reviewing essentials of analysis, including functional analysis, convexity, distribution theory, and interpolation theory, this book treats Fourier analysis and one-parameter operator semigroups

Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become

An accessible guide to the main reasons pumps fail—and what can be done about itWorkhorses in many different industries, including the oil industry, water industry, chemical industry, food industry, and pharmaceutical industry to name a few, pumps are a vital contributor to maintaining and increasing the flow of production. In fact, the pump industry itself is a multi-billion dollar global business. Taking the unique approach of addressing both pump operators and pump designers, Pump Wisdom explains the causes of failure in centrifugal pump function—whether it's pump selection, overlooked installation criteria, or the accumulation of small deviations—and maps out remedies with well defined methods that target specific issues, rather than focusing on technical generalities and theory. Clearly written and concise, Pump Wisdom relies on proven tactics for reducing pump vulnerabilities and correcting imbalances between hydraulic assembly and mechanical assembly. In addition, it supplies so

This volume presents the state of the art of new developments, and some interesting and relevant applications of the OWA (ordered weighted averaging) operators. The OWA operators were introduced in th

This volume contains the proceedings of the conference "Casimir Force, Casimir Operators and the Riemann Hypothesis–Mathematics for Innovation in Industry and Science" held in Novemb

Are you looking for a concise summary of the theory of Schrodinger operators? Here it is. Emphasizing the progress made in the last decade by Lieb, Enss, Witten and others, the three authors don’t jus

The purpose of this book is to present the theory of general irreducible Markov chains and to point out the connection between this and the Perron-Frobenius theory of nonnegative operators. The author begins by providing some basic material designed to make the book self-contained, yet his principal aim throughout is to emphasize recent developments. The technique of embedded renewal processes, common in the study of discrete Markov chains, plays a particularly important role. The examples discussed indicate applications to such topics as queueing theory, storage theory, autoregressive processes and renewal theory. The book will therefore be useful to researchers in the theory and applications of Markov chains. It could also be used as a graduate-level textbook for courses on Markov chains or aspects of operator theory.