This book presents the theory of integration over surfaces in abstract topological vector space. Applications of the theory in different fields, such as infinite dimensional distributions and differential equations (including boundary value problems), stochastic processes, approximation of functions, and calculus of variation on a Banach space, are treated in detail. Audience: This book will be of interest to specialists in functional analysis, and those whose work involves measure and integration, probability theory and stochastic processes, partial differential equations and mathematical physics.
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`This book is highly recommended for every mathematician with an interest in recent developments in functional analysis, measure and integration, differential equations, approximations, calculus of variations and stochastic processes.' Mathematical Reviews, 2001c
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surface integration theory, surface measure definition, topological addition, differentiable measures, countable type, smooth measures, generalized measures, infinite differentiability, countable additivity, transitional measure, nuclear operator, countable base, generalized functions, fubini theorem, surface measures New!
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surface integration theory, surface measure definition, topological addition, differentiable measures, countable type, smooth measures, generalized measures, infinite differentiability, countable additivity, transitional measure, nuclear operator, countable base, generalized functions, fubini theorem, surface measures New!
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This book cites 100
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- Algebraic Analysis (Mathematics and its Applications) by D. Przeworska-Rolewicz in Back Matter (1), and Back Matter (2)
- Nonlinear Numerical Methods and Rational Approximation (Mathematics and Its Applications) by A. Cuyt in Back Matter (1), and Back Matter (2)
- Global Behavior of Nonlinear Difference Equations of Higher Order with Applications (Mathematics and Its Applications (closed)) by V.L. Kocic in Back Matter
- Nonlinear Mechanics, Groups and Symmetry (Mathematics and Its Applications (closed)) by Yuri A. Mitropolsky in Back Matter
- Oscillation Theory of Two-Term Differential Equations (Mathematics and Its Applications (closed)) by Uri Elias in Back Matter
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