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Showing 1 to 20 of 32 for “"Complex variables"”.
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Functions of two complex variables
Thesis (M.A.)--Michigan State College of Agriculture and Applied Science. Dept. of Mathematics, 1941
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Bloch Functions in Several Complex Variables
Made available in DSpace on 2014-12-14T13:09:41Z (GMT). No. of bitstreams: 1 7913638.pdf: 4758909 bytes, checksum: 1af7da2445b83fce9e5977d0ae489e65 (MD5) Previous issue date: 1978
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Approximations of Functions of Several Complex Variables
Made available in DSpace on 2014-12-05T21:50:06Z (GMT). No. of bitstreams: 1 0018158.pdf: 1874459 bytes, checksum: 64be3d7c2d102515670c4793a5ab0493 (MD5) Previous issue date: 1956
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Proper holomorphic mappings in several complex variables
A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\doubc\sp{N}$ is proper if the sequence $\{f(zj)\}$ tends to the boundary of $\Omega$ for every sequence $\{zj\}$ which tends to the boundary of D. Let f be a proper holomorphic mapping from the unit …
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Proper holomorphic mappings of positive codimension in several complex variables
A holomorphic mapping f from a bounded domain $\Omega$ in C$\sp{\rm n}$ to a bounded domain $\Omega\sp\prime$ in C$\sp{\rm N}$ is proper if and only if (f(z$\sb\nu$)) tends to the boundary b$\Omega\sp\prime$ for each sequence (z$\sb\nu$) that tends to b$\Omega$. If the domains are balls B$\sb{\rm …
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Analytic Solutions for Flows Through Cascades
… order to find analytic solutions, sophisticated complex analysis is employed in the form of singular integral equations, Riemann--Hilbert problems, the Wiener--Hopf method and conformal mappings via the transcendental Schottky--Klein prime function. These methods are applied in the context of …
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Zeros of partial sums of power series
… theorems about power series in several complex variables. Examples illustrate that Jentzsch-type theorems in several complex variables depend on the way in which the partial sums are defined and on the convergence domain of the power series.
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Finitely generated function algebras
… and the theory of analytic functions of several complex variables. The last mentioned theory has led to some of the most powerful results in the theory of function algebras. Not surprisingly, many of these results, for example Rossi's local maximum modulus principle theorem 2.24, were first …
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Concentração de tensões em chapas infinitas tracionadas
… in infinite plates with holes, using complex variables functions. Applications of this technique to different problems are presented as well as the soluction of the same problems using Finite Element Method. Through results comparison, conclusions are established and some interesting …
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Interpolation of Weighted L2 Holomorphic Functions in Higher Dimensions
… interpolation theorem in the setting of several complex variables. We consider a Kahler manifold X with a metric &ohgr; whose Ricci curvature is non-positive and we assume that X admits a Green's function. In this setup we give a sufficient condition for a closed smooth uniformly flat …
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The Boundary Behavior of Holomorphic Functions
In the theory of several complex variables, the Fatou type problems, the Lindel\"{o}f principle, and inner functions have been well studied for strongly pseudoconvex domains. In this thesis, we are going to study more generalized domains, those of finite type. In Chapter 2 we show that there is no …
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Regularity of the Bergman Projection on Variants of the Hartogs Triangle
… a classical source of counterexamples in several complex variables, and generalize it to higher dimensions. We investigate the Lp mapping properties of the weighted Bergman projections on these Hartogs domains. As applications, we obtain the Lp regularity of the twisted-weighted Bergman …
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Holomorphic Hardy Space Representations for Convex Domains in Cn
… of holomorphic functions for a domain in several complex variables, that is, when the complex dimension is greater than or equal to two. The results we obtain are analogous to well known theorems in one complex variable. The domains we are concerned with are strongly convex with real boundary of …
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Does anyone here speak tashelhait? Perspectives on environment, identity and social change in south Morocco
… “Blackness” and all of its corresponding complexity is not generally associated with the countries and cultures of North Africa in either academic or popular discourse. Black Moroccan communities challenge us to expand our understanding of the Middle East and Africa by forcing us to …
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Infinite Series Identities in the Theory of Elliptic Functions and Q-Series
… theta product identity of a function of k + 1 complex variables. In Chapter 4, we give a simple new proof of the classical theta-function inversion formula. In Chapter 5, we give two general methods for proving q-series-product identities. The first method uses basic properties of roots of …
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An Algebraic Generalization of Subelliptic Multipliers
… subelliptic multipliers in the theory of several complex variables. Kohn's work applies to rings of germs of smooth functions. A special case of it leads to an interesting algebraic procedure defined for the ring of convergent power series with complex coefficients. We modify this procedure by …
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Interpolation Methods for the Model Reduction of Bilinear Systems
… functions satisfy interpolation conditions in k complex variables. The solution to this realization problem can be used to construct a bilinear system realization directly from sampling data on the kth-order transfer functions, without requiring the formation of the realization matrices for the …
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Real-Time Visualizations of Ocean Data Collected by the NORUS Glider
… generate visual representations of large and complex sets of science data. These types of applications allow scientists to gain greater knowledge and insight into their data. For example, the visualization of environmental data is of particular interest to biologists when trying to understand …
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