Author: Manfred Stoll
Publisher:
ISBN: 9781139885058
Category :
Languages : en
Pages :
Book Description
Invariant Potential Theory in the Unit of Ball of C [to the Power of N]
Author: Manfred Stoll
Publisher:
ISBN: 9781139885058
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9781139885058
Category :
Languages : en
Pages :
Book Description
Invariant Potential Theory in the Unit Ball of Cn
Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 0521468302
Category : Mathematics
Languages : en
Pages : 187
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.
Publisher: Cambridge University Press
ISBN: 0521468302
Category : Mathematics
Languages : en
Pages : 187
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.
Möbius - Invariant Potential Theory in the Unit Ball of Cn
Author: David Ullrich
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 116
Book Description
Publisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 116
Book Description
Invariant Potential Theory in the Unit Ball of C
Author: Manfred Stoll
Publisher:
ISBN: 9781107371644
Category : Invariants
Languages : en
Pages : 0
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.
Publisher:
ISBN: 9781107371644
Category : Invariants
Languages : en
Pages : 0
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.
Dissertation Abstracts International
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 848
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 848
Book Description
Harmonic Function Theory
Author: Sheldon Axler
Publisher: Springer Science & Business Media
ISBN: 1475781377
Category : Mathematics
Languages : en
Pages : 266
Book Description
This 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.
Publisher: Springer Science & Business Media
ISBN: 1475781377
Category : Mathematics
Languages : en
Pages : 266
Book Description
This 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.
Mathematical Reviews
Comprehensive Dissertation Index
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1016
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1016
Book Description
Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
Book Description
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
Book Description
The British National Bibliography
Author: Arthur James Wells
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 1554
Book Description
Publisher:
ISBN:
Category : Bibliography, National
Languages : en
Pages : 1554
Book Description