Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 34 for “"unit disk."”.
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Poletsky-Stessin Hardy Spaces on the Unit Disk
<p>The holomorphic functions on the unit disk $\mathbb{D}$ in the complex plane $\mathbb{C}$ have a remarkable property: to know the values of a holomorphic function on $\mathbb{D}$ it suffices to know only its values on the unit circle $\mathbb{T}$. However not all holomorphic functions on …
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On Compactness and Closed-Rangeness of Composition Operators
<p>Let $\phi$ be an analytic self-map of the unit disk $\mathbb{D}:=\{z:\lvert z\rvert</p>
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Partial Delaunay triangulations based routing, address configuration and date-centric storage in ad hock network
… algorithm that guarantees delivery in connected unit disk graphs (where two nodes are connected if and only if their distance is no more than the transmission radius, which is equal for all nodes). The FACE mode is a recovery mode used when no neighbor closer to destination exists. FACE mode …
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Semigroups of Composition Operators and the Cesaro Operator on H('p)(d) (Bergman Space, Infinitesimal Generator)
… is a semigroup of analytic functions mapping the unit disk into itself. The infinitesimal
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Fractional calculus operator and its applications to certain classes of analytic functions. A study on fractional derivative operator in analytic and multivalent functions.
… -valent (or multivalent) functions in the open unit disk by introducing new classes and deriving new properties. Our finding will provide interesting new results and indicate extensions of a number of known results. In this thesis we investigate a wide class of problems. First, by making use of …
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Closed-Range Composition Operators on Weighted Bergman Spaces and Applications
… The function phi is an analytic self map of the unit disk and our results extend those previously intended for the classical Bergman space. We will also give applications. </p>
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Invariant measures for inner functions
… the chaotic behavior of inner functions in the unit disk and in the upper half plane. Absolutely continuous invariant, measures for inner functions, ergodicity and exactness will be discussed. Moreover, under some conditions, we prove that the restriction of an inner function to [Special …
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An Embedded Toeplitz Problem
… we study the embedded Toeplitz problem of the unit disk into the unit ball in C^2. The embedding of Toeplitz problems suggests a way to define Toeplitz operators over singular spaces.
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Zeros of partial sums of power series
… radius of convergence one, every point on the unit circle is a limit point of zeros of partial sums of the power series. In this thesis, the relationship between the properties of the function and the behavior of the zeros of its partial sums is investigated. We prove that the set of limit …
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A Numerical Conformal Mapping Method and the Poisson Equation on Irregular Domains
… the unique transformation that maps a unit disk onto a simply connected irregular region. All the systems of linear equations that arise in formulating the method, are solved using Rapid Elliptic Solvers. Therefore, this technique may be regarded as a fast mapping technique. …
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A global Boettcher's theorem
… basin of attraction of $\alpha$ onto the unit disk such that $(\varphi \circ f \circ \varphi\sp{-1})(w) = w\sp{p}.$
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Closed Range Composition Operators on BMOA
<p>Let φ be an analytic self-map of the unit disk D. The composition operator with symbol φ is denoted by Cφ. Reverse Carleson type conditions, counting functions and sampling sets are important tools to give a complete characterization of closed range composition operators on BMOA and on Qp for …
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Isometries of Besov Type Spaces among Composition Operators
… Besov type space of holomorphic functions on the unit disk D. Given Phi, a holomorphic self map of D, we show the composition operator CPhi is an isometry on Bp,alpha if and only if the weighted composition operator WPhiPhi, is an isometry on the weighted Bergman space Ap,alpha. We then …
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Projective Geometry for Perfectoid Spaces
… of vector bundles on the perfectoid unit disk, and compute the Picard group of the perfectoid analog of projective space.
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Orthogonality and convergence of discrete Zernike polynomials
… infinite set of orthogonal polynomials over the unit disk, which are rotationally invariant. They are frequently utilized in optics, opthal- mology, and image recognition, among many other applications, to describe spherical aberrations and image features. Discretizing the continuous polynomials, …
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A Synthesis of Classical Boundary Theorems
Bounded analytic functions on the open unit disk D = {z ∈ C | |z| < 1} are a fre-<br />quent area of study in complex function theory. While it is easy to understand the<br />behavior of analytic functions on sequences with limit points inside D, the theory<br />becomes much more complicated as …
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The narrow escape problem : a matched asymptotic expansion approach
… We present findings in two dimensions for the unit disk, unit square and ellipse and in three dimensions for the unit sphere. The narrow escape problem has various applications in many fields including finance, biology, and statistical mechanics.
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Geometry of Ricci-flat Kähler manifolds and some counterexamples
… first example of a proper harmonic map from the unit disk to a complex plane. In the end, we prove that the union closed set conjecture is equivalent to a strengthened version, giving a construction which might lead to a counterexample.
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Network Modeling and Interference Analysis in Pervasive Technology
… are easily modeled by a family of graphs called unit disk graph (UDG). The degree distribution of a unit disk graph is an important aspect for investigating the behavior of a wireless network. In the literature, several studies was focused on the degree distribution of unit disk graphs, but they …
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Maximum Clique in Geometric Intersection Graphs
… clique problem in the intersection graph of disks in the Euclidean plane. First, we improve the time complexity of calculating the maximum clique in unit disk graphs from O(n3 log n) to O(n2.5 log n). Second, we introduce a new technique called pair-oriented labelling. This method is used to …
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