Excerpt from Boundary Values of Potential Functions Prescribed Along Interior Paths
We can say that Poisson's integral equation poses the problem of finding the boundary value of a function known to be harmonic in a half-plane when the boundary is inaccessible, but measurements can be taken along a line parallel to the boundary. This kind of problem arises in various physical investigations.' For example, the solution of the problem is of considerable value for the interpretations of observations derived from certain methods of geological prospecting which depend on a survey of a.
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Paperback. Zustand: New. Print on Demand. This book examines the origins of Poisson's integral equation, a problem that arises in various physical investigations including geological prospecting where the quantity, a, may also be unknown at the start. Drawing from a multitude of sources, the author offers several proofs of Pollard's result that the Poisson transform obeys the law of a semi-group, and he uses this to establish Snow's inversion formula under more general assumptions than those previously employed. The text reveals the fascinating connections of this problem to generalized functions, harmonic continuation, and biharmonic equations. Its diverse methods of exploration hold value for those interested in the study of integral equations and potential theory. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330463819_0
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330463819
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330463819
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Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Bestandsnummer des Verkäufers 25766171/1
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