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Showing 1 to 14 of 14 for “"several complex variables"”.
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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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Zeros of partial sums of power series
… Jentzsch-type 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
… analysis 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 …
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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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Interpolation of Weighted L2 Holomorphic Functions in Higher Dimensions
… an 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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Regularity of the Bergman Projection on Variants of the Hartogs Triangle
… is 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
… Spaces 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 …
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An Algebraic Generalization of Subelliptic Multipliers
… finding 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 …
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Regularity of the D-bar-Neumann Operator, the Bergman Projection and the Canonical Solution Operator of D-bar-Equation
… introduction to the $\bar{\partial}$-problem in several complex variables and the classical $L^2$ Theorem of $\bar{\partial}$. We then introduce the $\bar{\partial}$-Neumann operator on pseudoconvex domains and give a description of the relation between the $\bar{\partial}$-Neumann operator, the …
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Multidimensional Linear Systems and Robust Control
… function which is a rational function of several complex variables, say $\mathbf{z} = (z_{1}, \dots, z_{d})$. We then consider the output feedback stabilization problem for a plant $P(\mathbf{z})$. By assuming that $P(\mathbf{z})$ admits a double coprime factorization, then a set of …
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On some maximal convergence theorems for real analytic functions in R^N
… in the theory of analytic functions of several complex variables}, Trans. Amer. Math. Soc. (1962), {\bf 105}, 322--357. \\ $[$Sic81$]$ Siciak, J., {\it Extremal plurisubharmonic functions in $\mathbb{C}^N$}, Ann. Pol. Math. (1981), {\bf 39}, 175--211.