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Recommendations... Markov Processes and Potential Theory
by Robert M. Blumenthal, Ronald K. Getoor
This graduate-level text explores the relationship between Markov processes and potential theory in terms of excessive functions, multiplicative functionals and subprocesses, additive functionals and their potentials, and dual processes. 1968 edition.
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| |  Nonlinear Potential Theory of Degenerate Elliptic Equations
by Juha Heinonen, Tero Kilpeläinen, Olli Martio
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.
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| |  Theory of Linear Operators in Hilbert Space
by N. I. Akhiezer, I. M. Glazman
This classic textbook introduces linear operators in Hilbert Space, and presents the geometry of Hilbert space and the spectral theory of unitary and self-adjoint operators. Invaluable for every mathematician and physicist. 1961, 1963 edition.
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 Introduction to Spectral Theory in Hilbert Space
by Gilbert Helmberg
This introduction to Hilbert space, bounded self-adjoint operators, the spectrum of an operator, and operators' spectral decomposition is accessible to readers familiar with analysis and analytic geometry. 1969 edition.
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| |  Banach Spaces of Analytic Functions
by Kenneth Hoffman
This rigorous investigation of Hardy spaces and the invariant subspace problem is suitable for advanced undergraduates and graduates, covering complex functions, harmonic analysis, and functional analysis. 1962 edition.
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 Topological Vector Spaces, Distributions and Kernels
by Francois Treves
Extending beyond the boundaries of Hilbert and Banach space theory, this text focuses on key aspects of functional analysis, particularly in regard to solving partial differential equations. 1967 edition.
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| |  Real-Variable Methods in Harmonic Analysis
by Alberto Torchinsky
This text starts with Fourier series, summability, norm convergence, and conjugate function. Additional topics include Hilbert transform, Paley theory, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.
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 Linear Integral Equations
by William Vernon Lovitt
Not only general theory of linear equations but also differential equations, calculus of variations, and special areas in mathematical physics. Discusses Fredholm’s equation, Hilbert-Schmidt theory, and auxiliary theorems on harmonic functions. 1924 edition.
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| |  A Vector Space Approach to Geometry
by Melvin Hausner
This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.
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Products in Potential Theory | | |  | Foundations of Potential Theory
by Oliver D. Kellogg
Introduction to fundamentals of potential functions covers the force of gravity, fields of force, potentials, harmonic functions, electric images and Green’s function, sequences of harmonic functions, fundamental existence theorems, and much more.
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| | Markov Processes and Potential Theory
by Robert M. Blumenthal, Ronald K. Getoor
This graduate-level text explores the relationship between Markov processes and potential theory in terms of excessive functions, multiplicative functionals and subprocesses, additive functionals and their potentials, and dual processes. 1968 edition.
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