Invariant Potential Theory in the Unit of Ball of C [to the Power of N]
Author: Manfred Stoll
Publisher:
Published: 1994
Total Pages:
ISBN-13: 9781139885058
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Author: Manfred Stoll
Publisher:
Published: 1994
Total Pages:
ISBN-13: 9781139885058
DOWNLOAD EBOOKAuthor: Manfred Stoll
Publisher: Cambridge University Press
Published: 1994-05-12
Total Pages: 187
ISBN-13: 0521468302
DOWNLOAD EBOOKThis 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.
Author: David Ullrich
Publisher:
Published: 1981
Total Pages: 116
ISBN-13:
DOWNLOAD EBOOKAuthor: Manfred Stoll
Publisher:
Published: 1994
Total Pages: 0
ISBN-13: 9781107371644
DOWNLOAD EBOOKThe 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.
Author:
Publisher:
Published: 1989
Total Pages: 848
ISBN-13:
DOWNLOAD EBOOKAuthor: Sheldon Axler
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 266
ISBN-13: 1475781377
DOWNLOAD EBOOKThis book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Author:
Publisher:
Published: 1989
Total Pages: 1016
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1984
Total Pages: 1008
ISBN-13:
DOWNLOAD EBOOKAuthor: Arthur James Wells
Publisher:
Published: 1994
Total Pages: 1554
ISBN-13:
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