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Titlebook: Complex Dynamics; Lennart Carleson,Theodore W. Gamelin Textbook 1993 Springer-Verlag New York, Inc. 1993 integral.iteration.quasiconformal

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书目名称Complex Dynamics
编辑Lennart Carleson,Theodore W. Gamelin
视频video
丛书名称Universitext
图书封面Titlebook: Complex Dynamics;  Lennart Carleson,Theodore W. Gamelin Textbook 1993 Springer-Verlag New York, Inc. 1993 integral.iteration.quasiconformal
描述Complex dynamics is today very much a focus of interest. Though several fine expository articles were available, by P. Blanchard and by M. Yu. Lyubich in particular, until recently there was no single source where students could find the material with proofs. For anyone in our position, gathering and organizing the material required a great deal of work going through preprints and papers and in some cases even finding a proof. We hope that the results of our efforts will be of help to others who plan to learn about complex dynamics and perhaps even lecture. Meanwhile books in the field a. re beginning to appear. The Stony Brook course notes of J. Milnor were particularly welcome and useful. Still we hope that our special emphasis on the analytic side will satisfy a need. This book is a revised and expanded version of notes based on lectures of the first author at UCLA over several Vinter Quarters, particularly 1986 and 1990. We owe Chris Bishop a great deal of gratitude for supervising the production of course notes, adding new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment
出版日期Textbook 1993
关键词integral; iteration; quasiconformal mapping
版次1
doihttps://doi.org/10.1007/978-1-4612-4364-9
isbn_softcover978-0-387-97942-7
isbn_ebook978-1-4612-4364-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag New York, Inc. 1993
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Quadratic Polynomials,ameter space, which has a universal character in the sense that similar-looking sets show up when one studies very general parameter dependence. One striking feature of ℳ is that shapes of certain of the Julia sets ℐ. in dynamic space (.-space) are reflected in the shape of ℳ near the corresponding
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Textbook 1993 Quarters, particularly 1986 and 1990. We owe Chris Bishop a great deal of gratitude for supervising the production of course notes, adding new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment
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0172-5939 new material, and making computer pictures. We have used his computer pictures, and we will also refer to the attractive color graphics in the popular treatment978-0-387-97942-7978-1-4612-4364-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
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Springer-Handbuch der Mathematik IIe uniformization theorem, which can be found in Chapters 9 and 10 of [.]. A readable discussion of the Poisson kernel and Fatou’s theorem is given in Chapter 1 of [.]. In discussing the Beurling transform we appeal to the Calderón-Zygmund theorem, which can be found in [.] or [.].
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Textbook 1993 in particular, until recently there was no single source where students could find the material with proofs. For anyone in our position, gathering and organizing the material required a great deal of work going through preprints and papers and in some cases even finding a proof. We hope that the re
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