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Analytic Functions and Manifolds in Infinite Dimensional Spaces
The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated. The book presents a systematic treatment of...
Introduction to the Theory of Linear Partial Differential Equations
Numerical Analysis of Variational Inequalities
This is an exposition of some special results on analytic or C8-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and...
Transmutation Theory and Applications
The author's previous book `New Generalized Functions and Multiplication of Distributions' (North-Holland, 1984) introduced `new generalized functions' in order to explain heuristic computations of Physics and to give a meaning to any finite product of distributions....
Trees and Hills: Methodology for Maximizing Functions of Systems of Linear Relations
The Inverse Scattering Transformation andThe Theory of Solitons...
Nuclear and Conuclear Spaces
This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes...
The Bidual of C(X) I
Differential Calculus and Holomorphy
Complex Analysis in Locally Convex Spaces
This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published...
Stochastic Differential Equations and Diffusion Processes
Stochastic Control by Functional Analysis Methods
The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities.The emphasis is...
This third volume of the monograph examines potential theory. The first chapter develops potential theory with respect to a single kernel (or discrete time semigroup). All the essential ideas of the theory are presented: excessive functions, reductions, sweeping,...
Mathematicians and Their Times
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