| eBook ISBN: | 978-0-8218-8134-7 |
| Product Code: | CONM/455.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8134-7 |
| Product Code: | CONM/455.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsIsrael Mathematical Conference ProceedingsVolume: 455; 2008; 453 ppMSC: Primary 74; 30; 31; 32; 35; 37; 41; 42; 46; 47; 53
The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.
This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).
ReadershipGraduate students and research mathematicians interested in complex analysis, PDE, and dynamical systems.
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Table of Contents
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Articles
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Lev Aizenberg and Nikolai Tarkhanov — Stable expansions in homogeneous polynomials [ MR 2408158 ]
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Sergiu Aizicovici, Simeon Reich and Alexander J. Zaslavski — Dynamics of approximate solutions to a class of evolution equations in Banach spaces [ MR 2408159 ]
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K. Astala, T. Iwaniec, G. Martin and J. Onninen — Schottky’s theorem on conformal mappings between annuli: a play of derivatives and integrals [ MR 2402343 ]
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D. Bshouty and A. Lyzzaik — Univalent convex functions in the positive direction of the real axis [ MR 2408160 ]
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Monika Budzyńska and Tadeusz Kuczumow — The common fixed point set of commuting nonexpansive mappings in infinite products of unit balls [ MR 2408161 ]
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Mark Elin, David Shoikhet and Lawrence Zalcman — Controlled approximation for some classes of holomorphic functions [ MR 2408162 ]
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M. I. Ganzburg and D. S. Lubinsky — Best approximating entire functions to $\vert x\vert ^\alpha $ in $L_2$ [ MR 2408163 ]
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V. M. Gichev — Orbits of tori extended by finite groups and their polynomial hulls: the case of connected complex orbits [ MR 2408164 ]
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D. H. Hamilton — QC Riemann mapping theorem in space [ MR 2408165 ]
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G. Harutyunyan and B.-W. Schulze — Boundary value problems in weighted edge spaces [ MR 2408166 ]
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H. Turgay Kaptanoğlu and A. Ersin Üreyen — Analytic properties of Besov spaces via Bergman projections [ MR 2408167 ]
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B. A. Kats — The Cauchy integral over non-rectifiable paths [ MR 2408168 ]
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O. Kounchev and H. Render — Holomorphic continuation via Laplace-Fourier series [ MR 2408169 ]
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Yakov Krasnov — Analytic functions in algebras [ MR 2408170 ]
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Samuel L. Krushkal — Rational approximation of holomorphic functions and geometry of Grunsky inequalities [ MR 2408171 ]
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Reiner Kühnau — Quadratic forms in geometric function theory, quasiconformal extensions, Fredholm eigenvalues [ MR 2408172 ]
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A. Kytmanov — Elimination methods of unknowns from nonlinear systems [ MR 2408173 ]
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Piotr Liczberski and Victor V. Starkov — On locally biholomorphic finitely valent mappings from multiply connected to simply connected domains [ MR 2408174 ]
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Ya. Lutsky and V. S. Rabinovich — Parabolic pseudodifferential operators in exponential weighted spaces [ MR 2408175 ]
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O. Makhmudov, I. Niyozov and N. Tarkhanov — The Cauchy problem of couple-stress elasticity [ MR 2408176 ]
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S. Myslivets — On the zeta-function of a nonlinear system [ MR 2408177 ]
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Edgar Reich — Some questions of uniqueness for extremal quasiconformal mappings [ MR 2408178 ]
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Emil Saucan — Remarks on the existence of quasimeromorphic mappings [ MR 2408179 ]
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Alexander Shlapunov — On the Cauchy problem for the Cauchy-Riemann operator in Sobolev spaces [ MR 2408180 ]
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Vladimir Strauss — On spectral functions for commutative $J$-self-adjoint operator families of the $D_\kappa ^+$-class [ MR 2408181 ]
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A. Ukhlov and S. K. Vodopyanov — Mappings associated with weighted Sobolev spaces [ MR 2408182 ]
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Edoardo Vesentini — Inner maps and Banach algebras [ MR 2408183 ]
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Alekos Vidras — Reconstructing holomorphic functions in a domain from their values on a part of its boundary [ MR 2408184 ]
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Allen Weitsman — A note on the parabolicity of minimal graphs [ MR 2408185 ]
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Kazimierz Włodarczyk, Dorota Klim and Robert Kowalczyk — Localization of fixed points and zeros for holomorphic maps in locally convex spaces and nonexpansive maps in $J^*$-algebras [ MR 2402344 ]
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V. Zahariuta — On harmonic polynomial interpolation [ MR 2408186 ]
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Additional Material
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Reviews
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A pleasure for a mathematican, this volume will be indispensable to graduate students and research mathematicians interested in complex analysis, PDE, and dynamical systems. They can do no better than turn to this excellent book. ... This is a great, highly engaging book. I have no doubt this book will become a staple in complex analysis and dynamical systems. ... it will stretch your mind.
Current Engineering Practice
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.
This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).
Graduate students and research mathematicians interested in complex analysis, PDE, and dynamical systems.
-
Articles
-
Lev Aizenberg and Nikolai Tarkhanov — Stable expansions in homogeneous polynomials [ MR 2408158 ]
-
Sergiu Aizicovici, Simeon Reich and Alexander J. Zaslavski — Dynamics of approximate solutions to a class of evolution equations in Banach spaces [ MR 2408159 ]
-
K. Astala, T. Iwaniec, G. Martin and J. Onninen — Schottky’s theorem on conformal mappings between annuli: a play of derivatives and integrals [ MR 2402343 ]
-
D. Bshouty and A. Lyzzaik — Univalent convex functions in the positive direction of the real axis [ MR 2408160 ]
-
Monika Budzyńska and Tadeusz Kuczumow — The common fixed point set of commuting nonexpansive mappings in infinite products of unit balls [ MR 2408161 ]
-
Mark Elin, David Shoikhet and Lawrence Zalcman — Controlled approximation for some classes of holomorphic functions [ MR 2408162 ]
-
M. I. Ganzburg and D. S. Lubinsky — Best approximating entire functions to $\vert x\vert ^\alpha $ in $L_2$ [ MR 2408163 ]
-
V. M. Gichev — Orbits of tori extended by finite groups and their polynomial hulls: the case of connected complex orbits [ MR 2408164 ]
-
D. H. Hamilton — QC Riemann mapping theorem in space [ MR 2408165 ]
-
G. Harutyunyan and B.-W. Schulze — Boundary value problems in weighted edge spaces [ MR 2408166 ]
-
H. Turgay Kaptanoğlu and A. Ersin Üreyen — Analytic properties of Besov spaces via Bergman projections [ MR 2408167 ]
-
B. A. Kats — The Cauchy integral over non-rectifiable paths [ MR 2408168 ]
-
O. Kounchev and H. Render — Holomorphic continuation via Laplace-Fourier series [ MR 2408169 ]
-
Yakov Krasnov — Analytic functions in algebras [ MR 2408170 ]
-
Samuel L. Krushkal — Rational approximation of holomorphic functions and geometry of Grunsky inequalities [ MR 2408171 ]
-
Reiner Kühnau — Quadratic forms in geometric function theory, quasiconformal extensions, Fredholm eigenvalues [ MR 2408172 ]
-
A. Kytmanov — Elimination methods of unknowns from nonlinear systems [ MR 2408173 ]
-
Piotr Liczberski and Victor V. Starkov — On locally biholomorphic finitely valent mappings from multiply connected to simply connected domains [ MR 2408174 ]
-
Ya. Lutsky and V. S. Rabinovich — Parabolic pseudodifferential operators in exponential weighted spaces [ MR 2408175 ]
-
O. Makhmudov, I. Niyozov and N. Tarkhanov — The Cauchy problem of couple-stress elasticity [ MR 2408176 ]
-
S. Myslivets — On the zeta-function of a nonlinear system [ MR 2408177 ]
-
Edgar Reich — Some questions of uniqueness for extremal quasiconformal mappings [ MR 2408178 ]
-
Emil Saucan — Remarks on the existence of quasimeromorphic mappings [ MR 2408179 ]
-
Alexander Shlapunov — On the Cauchy problem for the Cauchy-Riemann operator in Sobolev spaces [ MR 2408180 ]
-
Vladimir Strauss — On spectral functions for commutative $J$-self-adjoint operator families of the $D_\kappa ^+$-class [ MR 2408181 ]
-
A. Ukhlov and S. K. Vodopyanov — Mappings associated with weighted Sobolev spaces [ MR 2408182 ]
-
Edoardo Vesentini — Inner maps and Banach algebras [ MR 2408183 ]
-
Alekos Vidras — Reconstructing holomorphic functions in a domain from their values on a part of its boundary [ MR 2408184 ]
-
Allen Weitsman — A note on the parabolicity of minimal graphs [ MR 2408185 ]
-
Kazimierz Włodarczyk, Dorota Klim and Robert Kowalczyk — Localization of fixed points and zeros for holomorphic maps in locally convex spaces and nonexpansive maps in $J^*$-algebras [ MR 2402344 ]
-
V. Zahariuta — On harmonic polynomial interpolation [ MR 2408186 ]
-
A pleasure for a mathematican, this volume will be indispensable to graduate students and research mathematicians interested in complex analysis, PDE, and dynamical systems. They can do no better than turn to this excellent book. ... This is a great, highly engaging book. I have no doubt this book will become a staple in complex analysis and dynamical systems. ... it will stretch your mind.
Current Engineering Practice
