Published by Springer, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
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Published by Springer, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
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Published by Springer, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
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Published by Springer, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
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Published by Springer Netherlands Dez 2010, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The developmentsin the recent yearsof the potential theoryemphasized a classof functions larger than that of excessive functions (i.e. the positive superharmonic functionsfromtheclassicalpotentialtheoryassociatedwiththeLaplaceopera tor), namely the strongly supermedian functions. It turns out that a positive Borel function will be strongly supermedian if and only if it is the in mum of all its excessive majorants. Apparently, these functions have been introduced by J.F. Mertens and then they have been studied mainly by P.A. Meyer, G. Mokobodzki, D. Feyel and recently by P.J. Fitzsimmons and R.K. Getoor. The aimofthis bookisamongothersto developa potential theoryappropriate to this new class of functions. Although our methods are analytical, we present also the probabilistic counterparts from the Markov processes theory. The natural frame in which this theory is settled is given by a sub-Markovian resolvent of kernels on a Radon measurable space. After a possible extension of the space, such a resolvent becomes that one associated with a right process on a Radon topological space, not necessary locally compact and without existing a reference measure. Intimately related to the excessive functions we present certain basic tools of the theory: the Ray topology and compacti cation, the ne carrier and the reduction operation on measurable sets. We examine di erent types of negligible sets with respect to a nite measure :the -polar, -semipolar and -mince sets. We take advantage of the cone of potentials structure for both excessive functions and measures. 380 pp. Englisch.
Published by Springer Netherlands, 2004
ISBN 10: 9048166713 ISBN 13: 9789048166718
Seller: Revaluation Books, Exeter, United Kingdom
Paperback. Condition: NEW. 376 pages. 9.00x6.00x0.86 inches. In Stock.
Published by Springer, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
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Published by Springer Netherlands, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
Seller: AHA-BUCH GmbH, Einbeck, Germany
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The developmentsin the recent yearsof the potential theoryemphasized a classof functions larger than that of excessive functions (i.e. the positive superharmonic functionsfromtheclassicalpotentialtheoryassociatedwiththeLaplaceoperator), namely the strongly supermedian functions. It turns out that a positive Borel function will be strongly supermedian if and only if it is the in mum of all its excessive majorants. Apparently, these functions have been introduced by J.F. Mertens and then they have been studied mainly by P.A. Meyer, G. Mokobodzki, D. Feyel and recently by P.J. Fitzsimmons and R.K. Getoor. The aimofthis bookisamongothersto developa potential theoryappropriate to this new class of functions. Although our methods are analytical, we present also the probabilistic counterparts from the Markov processes theory. The natural frame in which this theory is settled is given by a sub-Markovian resolvent of kernels on a Radon measurable space. After a possible extension of the space, such a resolvent becomes that one associated with a right process on a Radon topological space, not necessary locally compact and without existing a reference measure. Intimately related to the excessive functions we present certain basic tools of the theory: the Ray topology and compacti cation, the ne carrier and the reduction operation on measurable sets. We examine di erent types of negligible sets with respect to a nite measure :the -polar, -semipolar and -mince sets. We take advantage of the cone of potentials structure for both excessive functions and measures.
Published by Springer Netherlands, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
Seller: moluna, Greven, Germany
Condition: NEW. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1: Excessive Functions. 1.1. Sub-Markovian resolvent of kernels. 1.2. Basics on excessive functions. 1.3. Fine topology. 1.4. Excessive measures. 1.5. Ray topology and compactification. 1.6. The reduction operation and the associated capacitie.
Published by Springer, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
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Published by Springer, 2010
ISBN 10: 9048166713 ISBN 13: 9789048166718
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