Invariant Potential Theory in the Unit Ball of Cn / (Record no. 41318)
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000 -LEADER | |
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fixed length control field | 02406nam a22003978a 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9780511526183 (ebook) |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | n/a |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Stoll, Manfred, |
245 10 - TITLE STATEMENT | |
Title | Invariant Potential Theory in the Unit Ball of Cn / |
Statement of responsibility, etc | Manfred Stoll. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Cambridge : |
Name of publisher | Cambridge University Press, |
Year of publication | 1994. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | 1 online resource (184 pages) : |
Other physical details | digital, PDF file(s). |
490 0# - SERIES STATEMENT | |
Series statement | London Mathematical Society Lecture Note Series ; |
500 ## - GENERAL NOTE | |
General note | Title from publisher's bibliographic system (viewed on 16 Oct 2015). |
520 ## - SUMMARY, ETC. | |
Summary, etc | This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace–Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson–Szegö integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Potential theory (Mathematics) |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Invariants |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Unit ball |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1017/CBO9780511526183 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | E-BOOKS |
264 #1 - | |
-- | Cambridge : |
-- | Cambridge University Press, |
-- | 1994. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
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IMSc Library | EBK12024 | http://dx.doi.org/10.1017/CBO9780511526183 | E-BOOKS |