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Approximation of harmonic functions by universal overconvergent series: Approximation des fonctions harmoniques par des séries universelles surconvergentes - Softcover
Synopsis
We study the approximation of harmonic functions by universal overconvergent series. Most of the results established are analogues of those obtained in the case of approximation of holomorphic functions by such series. In the case of holomorphic functions, the approximation is made for functions which are continuous on a compact set and holomorphic inside this compact set, while our approximation is for functions that are harmonic in a neighborhood of the compact set. This difference is due to the fact that in the case of holomorphic functions, we have at our disposal Mergelyan's approximation theorem, which allows such an approximation, while in the case of harmonic functions, we employ only the classic approximation theorem of Walsh (harmonic analogue of the theorem of Runge).
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About the Author
Born at Nkongsamba, Cameroon, I begin my university studies at The University of Yaoundé 1, where I obtain a BA, a MA and a DEA in mathematics and then I did my doctorate studies at University of Montréal in Québec, which decerne me a Ph.D of mathematics in 2008. My field of studies concern universal approximation of harmonic functions.
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Approximation of harmonic functions by universal overconvergent series
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LAP LAMBERT Academic Publishing Jul 2010, 2010
ISBN 10: 3838366697
ISBN 13: 9783838366692
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -We study the approximation of harmonic functions by universal overconvergent series. Most of the results established are analogues of those obtained in the case of approximation of holomorphic functions by such series. In the case of holomorphic functions, the approximation is made for functions which are continuous on a compact set and holomorphic inside this compact set, while our approximation is for functions that are harmonic in a neighborhood of the compact set. This difference is due to the fact that in the case of holomorphic functions, we have at our disposal Mergelyan's approximation theorem, which allows such an approximation, while in the case of harmonic functions, we employ only the classic approximation theorem of Walsh (harmonic analogue of the theorem of Runge). 56 pp. Englisch. Seller Inventory # 9783838366692
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Approximation of harmonic functions by universal overconvergent series : Approximation des fonctions harmoniques par des séries universelles surconvergentes
Published by
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838366697
ISBN 13: 9783838366692
New
Taschenbuch
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - We study the approximation of harmonic functions by universal overconvergent series. Most of the results established are analogues of those obtained in the case of approximation of holomorphic functions by such series. In the case of holomorphic functions, the approximation is made for functions which are continuous on a compact set and holomorphic inside this compact set, while our approximation is for functions that are harmonic in a neighborhood of the compact set. This difference is due to the fact that in the case of holomorphic functions, we have at our disposal Mergelyan's approximation theorem, which allows such an approximation, while in the case of harmonic functions, we employ only the classic approximation theorem of Walsh (harmonic analogue of the theorem of Runge). Seller Inventory # 9783838366692
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Approximation of harmonic functions by universal overconvergent series
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LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838366697
ISBN 13: 9783838366692
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Approximation of harmonic functions by universal overconvergent series
Published by
LAP LAMBERT Academic Publishing Jul 2010, 2010
ISBN 10: 3838366697
ISBN 13: 9783838366692
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -We study the approximation of harmonic functions by universal overconvergent series. Most of the results established are analogues of those obtained in the case of approximation of holomorphic functions by such series. In the case of holomorphic functions, the approximation is made for functions which are continuous on a compact set and holomorphic inside this compact set, while our approximation is for functions that are harmonic in a neighborhood of the compact set. This difference is due to the fact that in the case of holomorphic functions, we have at our disposal Mergelyan''s approximation theorem, which allows such an approximation, while in the case of harmonic functions, we employ only the classic approximation theorem of Walsh (harmonic analogue of the theorem of Runge).VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 56 pp. Englisch. Seller Inventory # 9783838366692
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Approximation of harmonic functions by universal overconvergent series | Approximation des fonctions harmoniques par des séries universelles surconvergentes
Published by
LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838366697
ISBN 13: 9783838366692
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Taschenbuch
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Taschenbuch. Condition: Neu. Approximation of harmonic functions by universal overconvergent series | Approximation des fonctions harmoniques par des séries universelles surconvergentes | Innocent Tamptse | Taschenbuch | 56 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838366692 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Seller Inventory # 107439605