Last edited by Jular
Friday, July 31, 2020 | History

6 edition of Holomorphic functions and moduli found in the catalog.

# Holomorphic functions and moduli

## proceedings of a workshop held March 13-19, 1986

Written in English

Subjects:
• Holomorphic functions.,
• Teichmüller spaces.,
• Quasiconformal mappings.,
• Riemann surfaces.

• Edition Notes

Includes bibliographies.

Classifications The Physical Object Statement D. Drasin ... [et al.], editors. Series Mathematical Sciences Research Institute publications ;, 10-<11 >, Mathematical Sciences Research Institute publications ;, 10, etc. Contributions Drasin, D. LC Classifications QA331 .H66 1988 Pagination v. <1-2, > : Open Library OL2036213M ISBN 10 0387967664, 0387967869 LC Control Number 88012381

4 D. Zagier The modular group takes its name from the fact that the points of the quotient space Γ1\H are moduli (= parameters) for the isomorphism classes of elliptic curves over C. To each point z∈ H one can associate the lattice Λ z = Z.z+ Z.1 ⊂C and the quotient space E z = C/Λ z, which is an elliptic curve, i.e., it is at the same time a complex curve and an abelian group. function in Hp can be written as the product of what Beurling called an outer function and an inner function. The factors are unique to within unimodular multiplicative constants. An outer function is a nowhere vanishing holomorphic function fin D such that logjfj is the Poisson integral of its boundary function.

The Mathematical Sciences Research Institute (MSRI), founded in , is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions. The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to . An illustration of an open book. Books. An illustration of two cells of a film strip. Video. An illustration of an audio speaker. Audio. An illustration of a " floppy disk. Moduli of holomorphic functions and logarithmically convex radial weights Item Preview remove-circle.

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Holomorphic Functions and Moduli I Proceedings of a Workshop held March 13–19, Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 10) Log in to check access. Buy eBook. USD Riemann surface analytic function distribution dynamics holomorphic function quasiconformal mapping.

Editors. Holomorphic Functions and Moduli II Proceedings of a Workshop held March 13–19, Editors (view affiliations) Search within book. Front Matter. Pages i-xiii. PDF. Fuchsian Groups. Mostow rigidity on the line: A survey Riemann surface convergence distribution holomorphic function operator quasiconformal mapping.

Editors and. Main Holomorphic Functions and Moduli II: Proceedings of a Workshop held March 13–19, Holomorphic Functions and Moduli II: Proceedings of a Workshop held March 13–19, Stephen Agard (auth.), D. Drasin, C. Earle, F. Gehring, I. Kra, A. Marden (eds.). The Spring Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe­ maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution.

It included a. Two of these surgeries go beyond the classical realm of quasiconformal surgery and use trans-quasiconformal surgery. Another deals with holomorphic correspondences, a natural generalization of holomorphic maps.

The book is ideal for graduate students and researchers requiring a self-contained text including a variety of by: In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is, at every point of its domain, complex differentiable in a neighborhood of the point.

The existence of a complex derivative in a neighbourhood is a very strong condition, for it implies that any holomorphic function is actually infinitely differentiable and equal, locally, to.

Holomorphic Functions and Moduli I: Proceedings of a Workshop Held Marchby D. Drasin and C. Earle and F. Gehring Overview - The Spring Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe- maticians interested in Teichmiiller theory, quasiconformal.

Pris: kr. Inbunden, Tillfälligt slut. Bevaka Holomorphic Functions and Moduli I så får du ett mejl när boken går att köpa igen. It was shown in (Boche, H. and Pohl, V.,Spectral factorization in the disk algebra.

Complex Variables. Theory and Applications, 50, –) that if the modulus |f| of a function is continuous in the closure of the unit disk, the function f.

General definition of modular forms. In general, given a subgroup ⊂ of finite index, called an arithmetic group, a modular form of level and weight is a holomorphic function: → from the upper half-plane such that the following two conditions are satisfied. (automorphy condition) For any ∈ there is the equality (()) = (+) 2.(growth condition) For any ∈ the function (+) − (()) is.

Moduli of bounded holomorphic functions in the ball Boris Korenblum State University of New York, Albany, New YorkU.S.A. John E. McCarthy ∗ Washington University, St. Louis, MissouriU.S.A. February 25 Abstract We prove that there is a continuous non-negative function g on the unit sphere in.

The moduli of holomorphic functions in Lipschitz spaces. Konstantin M. Dyakonov. Full-text: Open access. PDF File ( KB) Article info and citation; First page; Article information.

Source Michigan Math. J., Vol Issue 1 (), Dates. 1. Supported in part by Grant from the Russian Foundation for Fundamental Research and by the Ramón y Cajal program (Spain).

Current address: Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran ViaE Barcelona, Spain. Mathematics (since February ). For a specific paper, enter the identifier into the top right search box. Browse: new (most recent mailing, with abstracts) ; recent (last 5 mailings) ; current month's math listings; specific year/month.

Get this from a library. Holomorphic functions and moduli: proceedings of a workshop held March[D Drasin;]. The authors use Knopp's generalization of this integral to real weights, and apply it to complex weights that are not an integer at least $$2$$. They show that for these weights the generalized Eichler integral gives an injection into the first cohomology group with values in a module of holomorphic functions, and characterize the image.

Say for example in understanding the local behaviour of J-holomorphic curves, we use the generalised Cauchy-Riemann equation to establish a few results about how "good" co-ordinates could be chosen, and some theorems akin to unique continuation, a variant of identity theorem (lemma in the book) etc.

Moduli of holomorphic functions and logarithmically convex radial weights Article (PDF Available) in Bulletin of the London Mathematical Society 47(3). The moduli space of canonical divisors (with prescribed zeros and poles) on nonsingular curves is not compact since the curve may degenerate.

We define a proper moduli space of twisted canonical divisors in $\overline{{\mathcal{M}}}_{g,n}$ which includes the space of canonical divisors as an open subset. The theory leads to geometric/combinatorial constraints on the closures of the moduli.

Find many great new & used options and get the best deals for Mathematical Sciences Research Institute Publications: Holomorphic Functions and Moduli I (, Hardcover) at the best online prices at eBay. Free shipping for many products!. Keywords: holomorphic functions, complex analysis, Riemann surface theory, analytic continuation Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service.

Meromorphic functions of several complex variables. Let be a domain in (or an -dimensional complex manifold) and let be a (complex-) analytic subset of codimension one (or empty). A holomorphic function defined on is called a meromorphic function in if for every point one can find an arbitrarily small neighbourhood of in and functions holomorphic in without .Several Complex Variables and the Geometry of Real Hypersurfaces book.

By John P. D'Angelo. Edition 1st Edition. First Published eBook Published 16 July Pub. location New York.

Imprint Routledge. Back to book. chapter 1. 41 Pages. Holomorphic Functions .