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:

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:

Classical Potential Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1447102339
Total Pages : 343 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Classical Potential Theory by : David H. Armitage

Download or read book Classical Potential Theory written by David H. Armitage and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.

Classical Potential Theory and Its Probabilistic Counterpart

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540412069
Total Pages : 892 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Classical Potential Theory and Its Probabilistic Counterpart by : Joseph L. Doob

Download or read book Classical Potential Theory and Its Probabilistic Counterpart written by Joseph L. Doob and published by Springer Science & Business Media. This book was released on 2001-01-12 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Here is a momumental work by Doob, one of the masters, in which Part 1 develops the potential theory associated with Laplace's equation and the heat equation, and Part 2 develops those parts (martingales and Brownian motion) of stochastic process theory which are closely related to Part 1". --G.E.H. Reuter in Short Book Reviews (1985)

Classical Potential Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9781852336189
Total Pages : 354 pages
Book Rating : 4.3/5 (361 download)

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Book Synopsis Classical Potential Theory by : David H. Armitage

Download or read book Classical Potential Theory written by David H. Armitage and published by Springer Science & Business Media. This book was released on 2000-10-27 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: A long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.

Selecta

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Publisher : Walter de Gruyter
ISBN 13 : 3110899760
Total Pages : 612 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Selecta by : Heinz Bauer

Download or read book Selecta written by Heinz Bauer and published by Walter de Gruyter. This book was released on 2012-05-24 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces. These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.

Algebra, Complex Analysis, and Pluripotential Theory

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Publisher : Springer
ISBN 13 : 3030011445
Total Pages : 224 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Algebra, Complex Analysis, and Pluripotential Theory by : Zair Ibragimov

Download or read book Algebra, Complex Analysis, and Pluripotential Theory written by Zair Ibragimov and published by Springer. This book was released on 2018-10-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features papers presented during a special session on algebra, functional analysis, complex analysis, and pluripotential theory. Research articles focus on topics such as slow convergence, spectral expansion, holomorphic extension, m-subharmonic functions, pseudo-Galilean group, involutive algebra, Log-integrable measurable functions, Gibbs measures, harmonic and analytic functions, local automorphisms, Lie algebras, and Leibniz algebras. Many of the papers address the theory of harmonic functions, and the book includes a number of extensive survey papers. Graduate and researchers interested in functional analysis, complex analysis, operator algebras and non-associative algebras will find this book relevant to their studies. The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Differential Equations and Dynamical Systems is also published in the Springer Proceedings in Mathematics & Statistics Series.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937935
Total Pages : 952 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 2013-11-11 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Harmonic Functions and Potentials on Finite or Infinite Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 3642213995
Total Pages : 152 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Harmonic Functions and Potentials on Finite or Infinite Networks by : Victor Anandam

Download or read book Harmonic Functions and Potentials on Finite or Infinite Networks written by Victor Anandam and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random walks, Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs, with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized, one example being the axiomatic potential theory on locally compact spaces developed by Brelot, with later ramifications from Bauer, Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network, on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory.

Ergodic Theory and Zd Actions

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Publisher : Cambridge University Press
ISBN 13 : 0521576881
Total Pages : 496 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Ergodic Theory and Zd Actions by : Mark Pollicott

Download or read book Ergodic Theory and Zd Actions written by Mark Pollicott and published by Cambridge University Press. This book was released on 1996-03-28 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mixture of surveys and original articles that span the theory of Zd actions.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400959915
Total Pages : 555 pages
Book Rating : 4.4/5 (9 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 2013-12-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Canadian Mathematical Bulletin

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Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4./5 ( download)

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Book Synopsis Canadian Mathematical Bulletin by :

Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1990-09 with total page 112 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

Potential Theory

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Publisher : Walter de Gruyter
ISBN 13 : 3110859068
Total Pages : 417 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Potential Theory by : Masanori Kishi

Download or read book Potential Theory written by Masanori Kishi and published by Walter de Gruyter. This book was released on 2011-05-02 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Lectures on the L2-Sobolev Theory of the [d-bar]-Neumann Problem

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Publisher : European Mathematical Society
ISBN 13 : 9783037190760
Total Pages : 220 pages
Book Rating : 4.1/5 (97 download)

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Book Synopsis Lectures on the L2-Sobolev Theory of the [d-bar]-Neumann Problem by : Emil J. Straube

Download or read book Lectures on the L2-Sobolev Theory of the [d-bar]-Neumann Problem written by Emil J. Straube and published by European Mathematical Society. This book was released on 2010 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough and self-contained introduction to the $\bar{\partial}$-Neumann problem, leading up to current research, in the context of the $\mathcal{L}^{2}$-Sobolev theory on bounded pseudoconvex domains in $\mathbb{C}^{n}$. It grew out of courses for advanced graduate students and young researchers given by the author at the Erwin Schrodinger International Institute for Mathematical Physics and at Texas A & M University. The introductory chapter provides an overview of the contents and puts them in historical perspective. The second chapter presents the basic $\mathcal{L}^{2}$-theory. Following is a chapter on the subelliptic estimates on strictly pseudoconvex domains. The two final chapters on compactness and on regularity in Sobolev spaces bring the reader to the frontiers of research. Prerequisites are a solid background in basic complex and functional analysis, including the elementary $\mathcal{L}^{2}$-Sobolev theory and distributions. Some knowledge in several complex variables is helpful. Concerning partial differential equations, not much is assumed. The elliptic regularity of the Dirichlet problem for the Laplacian is quoted a few times, but the ellipticity results needed for elliptic regularization in the third chapter are proved from scratch.

Seminar on Potential Theory II

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Publisher : Springer
ISBN 13 : 3540369120
Total Pages : 179 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Seminar on Potential Theory II by : H. Bauer

Download or read book Seminar on Potential Theory II written by H. Bauer and published by Springer. This book was released on 2006-11-15 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology Conference

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Publisher : Springer
ISBN 13 : 3540379487
Total Pages : 297 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Topology Conference by : R.F. Dickman

Download or read book Topology Conference written by R.F. Dickman and published by Springer. This book was released on 2006-11-15 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: