Foundations of Potential Theory PDF Download
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Author: Oliver Dimon Kellogg
Publisher: Courier Corporation
ISBN: 9780486601441
Category : Science
Languages : en
Pages : 404
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Book Description
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, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.
Author: Oliver Dimon Kellogg
Publisher: Courier Corporation
ISBN: 9780486601441
Category : Science
Languages : en
Pages : 404
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Book Description
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, the logarithmic potential, and much more. Detailed proofs rigorously worked out. 1929 edition.
Author: Olav Kallenberg
Publisher: Springer Science & Business Media
ISBN: 9780387953137
Category : Mathematics
Languages : en
Pages : 670
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Book Description
The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.
Author: K. GowriSankaran
Publisher: Springer Science & Business Media
ISBN: 9401111383
Category : Mathematics
Languages : en
Pages : 467
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Book Description
Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993
Author: Olav Kallenberg
Publisher: Springer Nature
ISBN: 3030618714
Category : Mathematics
Languages : en
Pages : 931
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Book Description
The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.
Author: C. van den Berg
Publisher: Springer
ISBN: 3540391835
Category : Mathematics
Languages : en
Pages : 331
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Book Description
Author: Jürgen Bliedtner
Publisher: Springer Science & Business Media
ISBN: 3642711316
Category : Mathematics
Languages : en
Pages : 448
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Book Description
During the last thirty years potential theory has undergone a rapid development, much of which can still only be found in the original papers. This book deals with one part of this development, and has two aims. The first is to give a comprehensive account of the close connection between analytic and probabilistic potential theory with the notion of a balayage space appearing as a natural link. The second aim is to demonstrate the fundamental importance of this concept by using it to give a straight presentation of balayage theory which in turn is then applied to the Dirichlet problem. We have considered it to be beyond the scope of this book to treat further topics such as duality, ideal boundary and integral representation, energy and Dirichlet forms. The subject matter of this book originates in the relation between classical potential theory and the theory of Brownian motion. Both theories are linked with the Laplace operator. However, the deep connection between these two theories was first revealed in the papers of S. KAKUTANI [1], [2], [3], M. KAC [1] and J. L. DO DB [2] during the period 1944-54: This can be expressed by the·fact that the harmonic measures which occur in the solution of the Dirichlet problem are hitting distri butions for Brownian motion or, equivalently, that the positive hyperharmonic func tions for the Laplace equation are the excessive functions of the Brownian semi group.
Author: Kurt Mahler
Publisher: CUP Archive
ISBN:
Category : Mathematics
Languages : en
Pages : 114
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Book Description
Author: Masanori Kishi
Publisher: Walter de Gruyter
ISBN: 3110859068
Category : Mathematics
Languages : en
Pages : 417
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Book Description
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.
Author: David H. Armitage
Publisher: Springer Science & Business Media
ISBN: 1447102339
Category : Mathematics
Languages : en
Pages : 343
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Book Description
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.
Author: Avner Friedman
Publisher: Courier Corporation
ISBN: 9780486640624
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.
