Fine Topology Methods in Real Analysis and Potential Theory

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Publisher : Springer
ISBN 13 : 3540398147
Total Pages : 483 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Fine Topology Methods in Real Analysis and Potential Theory by : Jaroslav Lukes

Download or read book Fine Topology Methods in Real Analysis and Potential Theory written by Jaroslav Lukes and published by Springer. This book was released on 2006-11-14 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fine Topology Methods in Real Analysis and Potential Theory

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Publisher :
ISBN 13 : 9783662167083
Total Pages : 488 pages
Book Rating : 4.1/5 (67 download)

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Book Synopsis Fine Topology Methods in Real Analysis and Potential Theory by : Jaroslav Lukes

Download or read book Fine Topology Methods in Real Analysis and Potential Theory written by Jaroslav Lukes and published by . This book was released on 2014-01-15 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fine Topology Methods in Real Analysis and Potential Theory

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Publisher : Springer
ISBN 13 : 9780387164748
Total Pages : 472 pages
Book Rating : 4.1/5 (647 download)

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Book Synopsis Fine Topology Methods in Real Analysis and Potential Theory by : Jaroslav Lukeš

Download or read book Fine Topology Methods in Real Analysis and Potential Theory written by Jaroslav Lukeš and published by Springer. This book was released on 1986 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fine Topologies Methods in Real Analysis and Potential Theory

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (729 download)

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Book Synopsis Fine Topologies Methods in Real Analysis and Potential Theory by : Jaroslav Lukěs

Download or read book Fine Topologies Methods in Real Analysis and Potential Theory written by Jaroslav Lukěs and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Topologies and Boundaries in Potential Theory

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Publisher : Springer
ISBN 13 : 3540364471
Total Pages : 182 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis On Topologies and Boundaries in Potential Theory by : Marcel Brelot

Download or read book On Topologies and Boundaries in Potential Theory written by Marcel Brelot and published by Springer. This book was released on 2006-11-15 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Potential Theory, Surveys and Problems

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Publisher : Springer
ISBN 13 : 3540459529
Total Pages : 276 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Potential Theory, Surveys and Problems by : Josef Kral

Download or read book Potential Theory, Surveys and Problems written by Josef Kral and published by Springer. This book was released on 2007-02-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.

Nonlinear Potential Theory of Degenerate Elliptic Equations

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Publisher : Courier Dover Publications
ISBN 13 : 048682425X
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Nonlinear Potential Theory of Degenerate Elliptic Equations by : Juha Heinonen

Download or read book Nonlinear Potential Theory of Degenerate Elliptic Equations written by Juha Heinonen and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained treatment appropriate for advanced undergraduate and graduate students, this volume offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. Starting with the theory of weighted Sobolev spaces, the text advances to the theory of weighted variational capacity. Succeeding chapters investigate solutions and supersolutions of equations, with emphasis on refined Sobolev spaces, variational integrals, and harmonic functions. Chapter 7 defines superharmonic functions via the comparison principle, and chapters 8 through 14 form the core of the nonlinear potential theory of superharmonic functions. Topics include balayage; Perron's method, barriers, and resolutivity; polar sets; harmonic measure; fine topology; harmonic morphisms; and quasiregular mappings. The book concludes with explorations of axiomatic nonlinear potential theory and helpful appendixes.

Fine Regularity of Solutions of Elliptic Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803352
Total Pages : 309 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fine Regularity of Solutions of Elliptic Partial Differential Equations by : Jan Malý

Download or read book Fine Regularity of Solutions of Elliptic Partial Differential Equations written by Jan Malý and published by American Mathematical Soc.. This book was released on 1997 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9781556080036
Total Pages : 540 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1988 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937951
Total Pages : 967 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 967 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Representation Theory

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Publisher : Walter de Gruyter
ISBN 13 : 3110203200
Total Pages : 732 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Integral Representation Theory by : Jaroslav Lukeš

Download or read book Integral Representation Theory written by Jaroslav Lukeš and published by Walter de Gruyter. This book was released on 2010 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications

Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications

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Publisher : Elsevier
ISBN 13 : 0080459463
Total Pages : 430 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications by : Badri Dvalishvili

Download or read book Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications written by Badri Dvalishvili and published by Elsevier. This book was released on 2005-01-20 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and study algebra of new type, the corresponding representation of which brings one to the special class of bitopological spaces. It is beyond any doubt that in the nearest future the areas of essential applications will be the theories of linear topological spaces and topological groups, algebraic and differential topologies, the homotopy theory, not to mention other fundamental areas of modern mathematics such as geometry, mathematical logic, the probability theory and many other areas, including those of applied nature. Key Features:- First monograph is "Generalized Lattices" * The first introduction to the theory of bitopological spaces and its applications.

Topology and Geometry - Rohlin Seminar

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Publisher : Springer
ISBN 13 : 3540459588
Total Pages : 582 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Topology and Geometry - Rohlin Seminar by : Oleg Y. Viro

Download or read book Topology and Geometry - Rohlin Seminar written by Oleg Y. Viro and published by Springer. This book was released on 2006-11-14 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers dedicated to the memory of V. A. Rohlin (1919-1984) - an outstanding mathematician and the founder of the Leningrad topological school. It includes survey and research papers on topology of manifolds, topological aspects of the theory of complex and real algebraic varieties, topology of projective configuration spaces and spaces of convex polytopes.

Algebraic Topology. Seattle 1985

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Publisher : Springer
ISBN 13 : 3540479864
Total Pages : 350 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algebraic Topology. Seattle 1985 by : Haynes R. Miller

Download or read book Algebraic Topology. Seattle 1985 written by Haynes R. Miller and published by Springer. This book was released on 2006-11-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington. The course notes by Emmanuel Dror Farjoun and by Frederick R. Cohen contained in this volume are carefully written graduate level expositions of certain aspects of equivariant homotopy theory and classical homotopy theory, respectively. M.E. Mahowald has included some of the material from his further papers, represent a wide range of contemporary homotopy theory: the Kervaire invariant, stable splitting theorems, computer calculation of unstable homotopy groups, and studies of L(n), Im J, and the symmetric groups.

Handbook of Measure Theory

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Publisher : Elsevier
ISBN 13 : 0080533094
Total Pages : 1633 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Measure Theory by : E. Pap

Download or read book Handbook of Measure Theory written by E. Pap and published by Elsevier. This book was released on 2002-10-31 with total page 1633 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which support the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various areas they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. Mathematicians from other areas as well as physicists, computer scientists, engineers and econometrists will find useful results and powerful methods for their research. The reader may find in the Handbook many close relations to other mathematical areas: real analysis, probability theory, statistics, ergodic theory, functional analysis, potential theory, topology, set theory, geometry, differential equations, optimization, variational analysis, decision making and others. The Handbook is a rich source of relevant references to articles, books and lecture notes and it contains for the reader's convenience an extensive subject and author index.

Elliptic Curves and Modular Forms in Algebraic Topology

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Publisher : Springer
ISBN 13 : 3540393005
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Elliptic Curves and Modular Forms in Algebraic Topology by : Peter S. Landweber

Download or read book Elliptic Curves and Modular Forms in Algebraic Topology written by Peter S. Landweber and published by Springer. This book was released on 2006-11-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. Ed. Witten's rich article on the index of the Dirac operator in loop space presents a mathematical treatment of his interpretation of elliptic genera in terms of quantum field theory. A short introductory article gives an account of the growth of this area prior to the conference.

Probability and Mathematical Genetics

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Publisher : Cambridge University Press
ISBN 13 : 1139487922
Total Pages : 547 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Probability and Mathematical Genetics by : N. H. Bingham

Download or read book Probability and Mathematical Genetics written by N. H. Bingham and published by Cambridge University Press. This book was released on 2010-07-15 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: No leading university department of mathematics or statistics, or library, can afford to be without this unique text. Leading authorities give a unique insight into a wide range of currently topical problems, from the mathematics of road networks to the genomics of cancer.