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.
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.
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.
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
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
Geometry and Integrability
Author: Lionel Mason
Publisher: Cambridge University Press
ISBN: 9780521529990
Category : Mathematics
Languages : en
Pages : 170
Book Description
Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.
Publisher: Cambridge University Press
ISBN: 9780521529990
Category : Mathematics
Languages : en
Pages : 170
Book Description
Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.
The Navier-Stokes Equations
Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 9780521681629
Category : Mathematics
Languages : en
Pages : 212
Book Description
This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.
Publisher: Cambridge University Press
ISBN: 9780521681629
Category : Mathematics
Languages : en
Pages : 212
Book Description
This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.
Stable Groups
Author: Frank Olaf Wagner
Publisher: Cambridge University Press
ISBN: 9780521598392
Category : Mathematics
Languages : en
Pages : 326
Book Description
In this book the general theory of stable groups is developed from the beginning.
Publisher: Cambridge University Press
ISBN: 9780521598392
Category : Mathematics
Languages : en
Pages : 326
Book Description
In this book the general theory of stable groups is developed from the beginning.
Double Affine Hecke Algebras
Author: Ivan Cherednik
Publisher: Cambridge University Press
ISBN: 0521609186
Category : Mathematics
Languages : en
Pages : 449
Book Description
This is an essentially self-contained monograph centered on the new double Hecke algebra technique.
Publisher: Cambridge University Press
ISBN: 0521609186
Category : Mathematics
Languages : en
Pages : 449
Book Description
This is an essentially self-contained monograph centered on the new double Hecke algebra technique.
Advances in Elliptic Curve Cryptography
Author: Ian F. Blake
Publisher: Cambridge University Press
ISBN: 9781139441223
Category : Mathematics
Languages : en
Pages : 308
Book Description
Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.
Publisher: Cambridge University Press
ISBN: 9781139441223
Category : Mathematics
Languages : en
Pages : 308
Book Description
Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.
Spectral Asymptotics in the Semi-Classical Limit
Author: Mouez Dimassi
Publisher: Cambridge University Press
ISBN: 0521665442
Category : Mathematics
Languages : en
Pages : 243
Book Description
This book presents the basic methods and applications in semiclassical approximation in the light of developments.
Publisher: Cambridge University Press
ISBN: 0521665442
Category : Mathematics
Languages : en
Pages : 243
Book Description
This book presents the basic methods and applications in semiclassical approximation in the light of developments.