Invariant Potential Theory in the Unit Ball of Cn / (Record no. 41318)

000 -LEADER
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
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK12024 http://dx.doi.org/10.1017/CBO9780511526183 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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