Invariant Potential Theory in the Unit Ball of Cn

Invariant Potential Theory in the Unit Ball of Cn PDF Author: Manfred Stoll
Publisher:
ISBN: 9781107047617
Category : Potential theory (Mathematics)
Languages : en
Pages : 173

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Invariant Potential Theory in the Unit Ball of Cn

Invariant Potential Theory in the Unit Ball of Cn PDF Author: Manfred Stoll
Publisher:
ISBN: 9781107047617
Category : Potential theory (Mathematics)
Languages : en
Pages : 173

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Book Description


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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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 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 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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Complex Analysis and Potential Theory

Complex Analysis and Potential Theory PDF Author: Andre Boivin
Publisher: American Mathematical Soc.
ISBN: 0821891731
Category : Mathematics
Languages : en
Pages : 347

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Book Description
This is the proceedings volume of an international conference entitled Complex Analysis and Potential Theory, which was held to honor the important contributions of two influential analysts, Kohur N. GowriSankaran and Paul M. Gauthier, in June 2011 at the Centre de Recherches Mathematiques (CRM) in Montreal. More than fifty mathematicians from fifteen countries participated in the conference. The twenty-four surveys and research articles contained in this book are based on the lectures given by some of the most established specialists in the fields. They reflect the wide breadth of research interests of the two honorees: from potential theory on trees to approximation on Riemann surfaces, from universality to inner and outer functions and the disc algebra, from branching processes to harmonic extension and capacities, from harmonic mappings and the Harnack principle to integration formulae in $\mathbb {C}^n$ and the Hartogs phenomenon, from fine harmonicity and plurisubharmonic functions to the binomial identity and the Riemann hypothesis, and more. This volume will be a valuable resource for specialists, young researchers, and graduate students from both fields, complex analysis and potential theory. It will foster further cooperation and the exchange of ideas and techniques to find new research perspectives.

Spaces of Holomorphic Functions in the Unit Ball

Spaces of Holomorphic Functions in the Unit Ball PDF Author: Kehe Zhu
Publisher: Springer Science & Business Media
ISBN: 0387275398
Category : Mathematics
Languages : en
Pages : 281

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Book Description
Can be used as a graduate text Contains many exercises Contains new results

Geometric Function Theory in Several Complex Variables

Geometric Function Theory in Several Complex Variables PDF Author: Carl H. FitzGerald
Publisher: World Scientific
ISBN: 9789812702500
Category : Mathematics
Languages : en
Pages : 360

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Book Description
The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties.

Subharmonic Functions, Generalizations, Holomorphic Functions, Meromorphic Functions, and Properties. PDF Author: Juhani Riihentaus
Publisher: Bentham Science Publishers
ISBN: 9811498687
Category : Mathematics
Languages : en
Pages : 152

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Book Description
This book explains different types of subharmonic and harmonic functions. The book brings 12 chapters explaining general and specific types of subharmonic functions (eg. quasinearly subharmonic functions and other separate functions), related partial differential equations, mathematical proofs and extension results. The methods covered in the book also attempt to explain different mathematical analyses such as elliptical equations, domination conditions, weighted boundary behavior. The book serves as a reference work for scholars interested in potential theory and complex analysis.

Number Theory and Polynomials

Number Theory and Polynomials PDF Author: James Fraser McKee
Publisher: Cambridge University Press
ISBN: 0521714672
Category : Mathematics
Languages : en
Pages : 350

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Book Description
Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.