Möbius - Invariant Potential Theory in the Unit Ball of Cn

Möbius - Invariant Potential Theory in the Unit Ball of Cn PDF Author: David Ullrich
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 116

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Möbius - Invariant Potential Theory in the Unit Ball of Cn

Möbius - Invariant Potential Theory in the Unit Ball of Cn PDF Author: David Ullrich
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 116

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Book Description


Invariant Potential Theory in the Unit Ball of Cn

Invariant Potential Theory in the Unit Ball of Cn PDF 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.

Invariant Potential Theory in the Unit Ball of C

Invariant Potential Theory in the Unit Ball of C PDF 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.

Invariant Potential Theory in the Unit of Ball of C [to the Power of N]

Invariant Potential Theory in the Unit of Ball of C [to the Power of N] PDF Author: Manfred Stoll
Publisher:
ISBN: 9781139885058
Category :
Languages : en
Pages :

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Harmonic and Subharmonic Function Theory on the Hyperbolic Ball

Harmonic and Subharmonic Function Theory on the Hyperbolic Ball PDF 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.

Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 580

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Reviews in Complex Analysis, 1980-86

Reviews in Complex Analysis, 1980-86 PDF Author:
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 746

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Theory of Bergman Spaces

Theory of Bergman Spaces PDF 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.

Fractals in Probability and Analysis

Fractals in Probability and Analysis PDF Author: Christopher J. Bishop
Publisher: Cambridge University Press
ISBN: 1107134110
Category : Mathematics
Languages : en
Pages : 415

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Book Description
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

Knots and Links

Knots and Links PDF Author: Dale Rolfsen
Publisher: American Mathematical Soc.
ISBN: 0821834363
Category : Mathematics
Languages : en
Pages : 458

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Book Description
Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""