Harmonic Measure PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Harmonic Measure PDF full book. Access full book title Harmonic Measure.
Author | : John B. Garnett |
Publisher | : Cambridge University Press |
Total Pages | : 4 |
Release | : 2005-04-04 |
Genre | : Mathematics |
ISBN | : 1139443097 |
Download Harmonic Measure Book in PDF, ePub and Kindle
During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.
Author | : John B. Garnett |
Publisher | : Cambridge University Press |
Total Pages | : 608 |
Release | : 2005-04-04 |
Genre | : Mathematics |
ISBN | : 9780521470186 |
Download Harmonic Measure Book in PDF, ePub and Kindle
An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.
Author | : Luca Capogna |
Publisher | : American Mathematical Soc. |
Total Pages | : 170 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821827286 |
Download Harmonic Measure Book in PDF, ePub and Kindle
Recent developments in geometric measure theory and harmonic analysis have led to new and deep results concerning the regularity of the support of measures which behave "asymptotically" (for balls of small radius) as the Euclidean volume. A striking feature of these results is that they actually characterize flatness of the support in terms of the asymptotic behavior of the measure. Such characterizations have led to important new progress in the study of harmonic measure fornon-smooth domains. This volume provides an up-to-date overview and an introduction to the research literature in this area. The presentation follows a series of five lectures given by Carlos Kenig at the 2000 Arkansas Spring Lecture Series. The original lectures have been expanded and updated to reflectthe rapid progress in this field. A chapter on the planar case has been added to provide a historical perspective. Additional background has been included to make the material accessible to advanced graduate students and researchers in harmonic analysis and geometric measure theory.
Author | : Steven George Krantz |
Publisher | : American Mathematical Soc. |
Total Pages | : 586 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821827243 |
Download Function Theory of Several Complex Variables Book in PDF, ePub and Kindle
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Author | : G.R. Grimmett |
Publisher | : Springer Science & Business Media |
Total Pages | : 350 |
Release | : 1994-01-31 |
Genre | : Mathematics |
ISBN | : 9780792327202 |
Download Probability and Phase Transition Book in PDF, ePub and Kindle
This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.
Author | : John B. Garnett |
Publisher | : Wiley-Interscience |
Total Pages | : 88 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : |
Download Applications of Harmonic Measure Book in PDF, ePub and Kindle
This monograph illustrates how elementary harmonic measure arguments have broad applications. The author presents some recent results on harmonic measure and applications of harmonic measure estimates to problems in analysis and spectral theory. Most of the results included are not available in any other book. The treatment is elementary in that Brownian motion is not used--the introduction gives all the background needed for following the text. Chapters cover length sums, level curves of conformal mappings, interpolating sequences, nontangential limit sets, Makarov's theorems, and periodic spectra of Hill's equation.
Author | : Irina Popovici |
Publisher | : |
Total Pages | : 190 |
Release | : 1998 |
Genre | : Harmonic analysis |
ISBN | : |
Download Rigidity and Dimension of the Harmonic Measure of Julia Sets Book in PDF, ePub and Kindle
Author | : Hung Thac Nguyen |
Publisher | : |
Total Pages | : 88 |
Release | : 1985 |
Genre | : |
ISBN | : |
Download Estimates of Harmonic Measure and Applications Book in PDF, ePub and Kindle
Author | : Mario Gonzalez |
Publisher | : CRC Press |
Total Pages | : 552 |
Release | : 1991-09-24 |
Genre | : Mathematics |
ISBN | : 9780824784164 |
Download Complex Analysis Book in PDF, ePub and Kindle
A selection of some important topics in complex analysis, intended as a sequel to the author's Classical complex analysis (see preceding entry). The five chapters are devoted to analytic continuation; conformal mappings, univalent functions, and nonconformal mappings; entire function; meromorphic fu
Author | : I. Laine |
Publisher | : Springer |
Total Pages | : 469 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 354034859X |
Download Complex Analysis. Joensuu 1978 Book in PDF, ePub and Kindle
Romanian Finnish Seminar on Complex Analysis