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Showing 1 to 20 of 27 for “"meromorphic"”.
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Rings of Meromorphic Functions
Made available in DSpace on 2014-12-09T22:17:25Z (GMT). No. of bitstreams: 1 6604210.pdf: 7899549 bytes, checksum: 501eb7fec404609518a282d07bfd35f8 (MD5) Previous issue date: 1965
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Imaginary Values of Meromorphic Functions
Made available in DSpace on 2014-12-14T13:09:33Z (GMT). No. of bitstreams: 1 7709213.pdf: 2476196 bytes, checksum: d838ec28b09a2da240a9a14d02c8e426 (MD5) Previous issue date: 1976
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Pullback of currents by meromorphic maps
… compact K\"ahler manifold and $f$ is a dominant meromorphic map. For holomorphic maps, a variational principle for smooth maps proves the existence of a measure which is invariant under $f$ and has maximal entropy (i.e. the entropy of the measure equals the topological entropy). The same question …
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Efficient quotient representation of meromorphic functions
Representations of meromorphic functions as quotients of analytic functions have been studied for years. Miles showed that any meromorphic function f can be written as f$\sb1$/f$\sb2$ where each f$\sb{\rm j}$ is entire and T(r,f$\sb{\rm j}$) $\leq$ AT(Br,f). This result is trivial if the pole set Z …
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Antisymmetry in the theory of rigid meromorphic cocycles
… The central object in their theory are rigid meromorphic cocycles. These are elements of the first cohomology group of Ihara’s group SL2(Z[1/p]) with values in the multiplicative group of non-zero rigid mero- morphic functions on Drinfeld’s upper half plane. Such classes can be evaluated at RM …
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Global Analysis of Meromorphic Vector Fields in the Plane
This work examines the behavior of meromorphic vector fields k(z) on the plane. The set of trajectories of k(z) whose maximal interval of definition is not all of R is called the incomplete set, and the analysis of k( z) then falls into two parts: the behavior of the incomplete set, and the …
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Efficient Quotient Representations of Meromorphic Functions in the Disk
Made available in DSpace on 2014-12-11T18:23:35Z (GMT). No. of bitstreams: 1 7114675.pdf: 816681 bytes, checksum: 7ab800ca34c6c23761b1644b9711abb2 (MD5) Previous issue date: 1970
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Absolutely continuous invariant measures for a class of meromorphic functions
We are going to consider a meromorphic function g: $\Re \to \Re,$ which has a constant sign in the upper half plan. We will show that it has a special form$${\rm g(z) = A} + \varepsilon\left\lbrack Bz- \sum\sb{s} p\sb{s} ({1\over{z-c\sb{s}}}{+}{1\over {c\sb{s}}})\right\rbrack$$where the poles are …
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On Colin de Verdière's Proof of the Meromorphic Continuation of Eisenstein Series
… of Colin de Verdière's eventual proof of the meromorphic continuation of Eisenstein series. We consider the importance of this result as it relates to ideas relating to the Riemann hypothesis and offer a timeline of other results that influenced this eventual proof.
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Meromorphic Solutions of a System of Functional Equations Involving the Modular Group
Made available in DSpace on 2014-12-09T22:17:59Z (GMT). No. of bitstreams: 1 7105053.pdf: 3226109 bytes, checksum: dfc8c10d5022eff4d0118209ef7453c4 (MD5) Previous issue date: 1970
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On the Supremum of the Counting Function for the a-Values of a Meromorphic Function
… solutions of the equation f(z) = a where f is meromorphic in the plane.
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Transversely Holomorphic Flows on 3-Manifolds and Geodesible Vector Fields
… topology of the singularities of transversely meromorphic vector fields and meromorphic differential forms is studied.
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Analytical Methods For Levy Processes With Applications To Finance
… tractable” families of processes known as the meromorphic and hyper-exponential families. We also demonstrate some important numerical techniques for working with these families and for solving numerical integration and rational approximation problems. In the second part of the dissertation we …
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Normal families of integer translations
Let f be a meromorphic function in the complex plane C. We consider the normality of the family of integer translations of f, $\{ f(z + n):n = 0,\pm 1,\pm2,\...\}$. If the family is normal on a set G in C, then the set G is open and periodic with period 1, i.e., $z\pm 1\in G$ for all $z\in G$.
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Lie Algebras of Differential Operators and D-modules
… We show that the corresponding algebras of meromorphic differential operators and pseudodifferential symbols have many invariant traces and central extensions, given by the logarithms of meromorphic vector fields. We describe which of these extensions survive after passing to the algebras of …
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Non-integrated Defect Relations for General Divisors
… defect relations. The first applies to meromorphic maps from a Kahler manifold, whose universal covering is a ball, into a projective variety that intersects general divisors properly. This is achieved by incorporating the beta constants into the defect relation. The second pertains to …
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ABC Theorems In The Functional Case
… entire functions in one variable, for p-adic meromorphic functions in several variables without common factors, under the hypothesis that no subsum vanishes, and also for pairwise relatively prime p-adic entire functions of several variables. In this thesis we will also prove a few …
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Waring's Problem for Linear Polynomials and Laurent Polynomials
… entire functions, rational functions and meromorphic functions. First, we consider Waring's problem for linear polynomials and get p 1 = k and p2 ≥ k + 1. Next, we study Waring's problem for Laurent polynomials and obtain lower bounds of p1 and p 2. Finally, we discuss the misquote that …
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Tamely ramified geometric Langlands correspondence in positive characteristic
… connections on X with regular singularities and meromorphic Higgs bundles on the Frobenius twist X(1) of X with first order poles.
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Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations
… bundles and a transfer function given by a meromorphic bundle map. An analogue of the Hankel realization theorem developed by J. Ball and V. Vinnikov then leads to a Livšic-system state-space representation for an autonomous behavior satisfying some natural additional conditions.
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