The Bochner-Martinelli Integral and Its Applications
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Von Händler/Antiquariat, Orca Knowledge Systems, Inc. [603531], Novato, CA, U.S.A.
No DJ. Ex University of California, Berkeley Math/Stat Library book with usual library markings. Binding is tight, text clean. No other marks in very lightly read book.

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Von Händler/Antiquariat, orcaknowledge.
The Bochner-Martinelli integral representation for holomorphic functions or'sev­ eral complex variables (which has already become classical) appeared in the works of Martinelli and Bochner at the beginning of the 1940'S. It was the first essen­ tially multidimensional representation in which the integration takes place over the whole boundary of the domain. This integral representation has a universal 1 kernel (not depending on the form of the domain), like the Cauchy kernel in e . However, in en when n > 1, the Bochner-Martinelli kernel is harmonic, but not holomorphic. For a long time, this circumstance prevented the wide application of the Bochner-Martinelli integral in multidimensional complex analysis. Martinelli and Bochner used their representation to prove the theorem of Hartogs (Osgood­ Brown) on removability of compact singularities of holomorphic functions in en when n > 1. In the 1950's and 1960's, only isolated works appeared that studied the boundary behavior of Bochner-Martinelli (type) integrals by analogy with Cauchy (type) integrals. This study was based on the Bochner-Martinelli integral being the sum of a double-layer potential and the tangential derivative of a single-layer potential. Therefore the Bochner-Martinelli integral has a jump that agrees with the integrand, but it behaves like the Cauchy integral under approach to the boundary, that is, somewhat worse than the double-layer potential. Thus, the Bochner-Martinelli integral combines properties of the Cauchy integral and the double-layer potential. Hardcover, Ausgabe: 1, Label: Birkhäuser, Birkhäuser, Produktgruppe: Book, Publiziert: 1995-09-01, Studio: Birkhäuser, Verkaufsrang: 16941474.

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Von Händler/Antiquariat, Revaluation Books [2134736], Exeter, United Kingdom.
softcover reprint of the original 1st ed. 1995 edition. 324 pages. 9.50x6.70x0.70 inches. In Stock.

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Von Händler/Antiquariat, Orca Knowledge Systems Inc.
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Von Händler/Antiquariat, TML Bookstore.
Tapa dura, Label: Birkhäuser, Birkhäuser, Produktgruppe: Libro, Publiziert: 1995-09-01, Studio: Birkhäuser.