Author: David Ullrich
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 116

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Book Description

Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 0521468302
Category : Mathematics
Languages : en
Pages : 187

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Book Description
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.

Author: Manfred Stoll
Publisher:
ISBN: 9781107371644
Category : Invariants
Languages : en
Pages : 0

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Book Description
The 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: Manfred Stoll
Publisher:
ISBN: 9781139885058
Category :
Languages : en
Pages :

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Book Description

Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 1107541484
Category : Mathematics
Languages : en
Pages : 243

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Book Description
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 580

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Book Description

Author:
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 746

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Book Description

Author: Hakan Hedenmalm
Publisher: Springer Science & Business Media
ISBN: 1461204976
Category : Mathematics
Languages : en
Pages : 299

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Book Description
Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research interest and activity have expanded in this area and there are now rich theories describing the Bergman spaces and their operators. This book is a timely treatment of the theory, written by three of the major players in the field.

Author: K. GowriSankaran
Publisher: Springer Science & Business Media
ISBN: 9401111383
Category : Mathematics
Languages : en
Pages : 467

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Book Description
Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993

Author: Colin Conrad Adams
Publisher: American Mathematical Soc.
ISBN: 0821836781
Category : Mathematics
Languages : en
Pages : 330

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Book Description
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to this theory, starting with our understanding of knots. It presents the applications of knot theory to modern chemistry, biology and physics.