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Showing 1 to 20 of 76 for “"Function theory"”.
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Hypercomplex Function Theory
Made available in DSpace on 2014-12-09T22:17:17Z (GMT). No. of bitstreams: 1 6500890.pdf: 2305833 bytes, checksum: 86a7e209aa04ea6d8fee6bda8b715725 (MD5) Previous issue date: 1964
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Reducibilities in recursive function theory.
Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1966. Ph.D.
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Ranking Aggregation Based on Belief Function Theory
… in each ranking is modeled within the Belief Function Theory framework, that allows for the combination of subjective knowledge in a non Bayesian way. This innovative application of belief functions to rankings, allows us to encode different sources of a priori knowledge about the correctness …
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Recursive Function Theory in Groups and Semigroups
Made available in DSpace on 2014-12-14T13:09:44Z (GMT). No. of bitstreams: 1 8009113.pdf: 4391205 bytes, checksum: f69883a5f5369d54a26f31163d28de47 (MD5) Previous issue date: 1979
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Hardy-space Function Theory on Finitely Connected Planar Domains
Hardy space scalar theory on the disk is now classical. Some extensions have been done, one of them is the approach done by Donald Sarason using Laurent series. We present the more complicated function theory, without the use of either power series or Laurent series, for finitely-connected planar …
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Some Inequalities Concerning Power Series and Their Interaction With Univalent Function Theory
… series are fundamental in the study of Geometric Function Theory. In fact, they constitute a major part in Complex Analysis. The purpose of this dissertation is to employ analytic functions defined by power series in two different directions. The first of these discussed in Part I, mainly …
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Methods of Complex Function Theory in Some Problems of Analysis: KMS States and Corona Problem
… pair of topics which both depend on holomorphic functions and Banach Algebras. Firstly, the prerequisite background knowledge common to both such as holomorphic functions, Banach spaces and algebras, and module theory is provided. Secondly, KMS states arising on Cuntz-Krieger algebras are …
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The Work of Emil L. Post on Combinatorial Systems: A Basis for Modern Recursive-Function Theory
Made available in DSpace on 2014-12-11T18:23:54Z (GMT). No. of bitstreams: 1 7317121.pdf: 4783375 bytes, checksum: 9bc9d2b0273e973f20457514ef9f809c (MD5) Previous issue date: 1972
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Dynamics of electrons and excitons in nanoclusters and molecules studied by many-body Green's function theory
… systems based on the most advanced physical theory are not well established. In the thesis, the computational approaches and methods based on the many-body Green's function theory are developed for OD nanoclusters and molecules. The numerical implementations for the calculation of electronic …
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Two problems in function theory of one complex variable: local properties of solutions of second-order differential equations and number of deficient functions of some entire functions
… dissertation investigates two problems in the function theory of one complex variable. In Chapter 1, we study the asymptotics and zero distribution of solutions of the differential equation w<sup>n</sup> + A(z)w = 0, where A(z) is a transcendental entire function of very slow growth. The result …
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Collision Avoidance for Automated Vehicles Using Occupancy Grid Map and Belief Theory
… grid map, collision avoidance system and belief theory, and propose some of the latest and the most effective method such as predictive occupancy grid map, risk evaluation model and OGM role in the belief function theory with the approach of decision uncertainty according to the environment …
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Sobre a teoria de regularidade elíptica via análise da equação de Helmholtz em RN
… of vital importance the use of Bessel’s Modified Function Theory, Calderón-Zygmund Theory, the Mountain Pass Theorem and Schauder’s Theorem, as well as basic results of Measure and Integration, Complex Analysis, Functional Analysis and the Theory of Sobolev Spaces.
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Synthesis and growth dynamics study of silver nanoparticles
… work are outlined. Chapter two deals with the theory of kinetically growth of nanoparticles. The basic optical properties of metal nanoparticles as well as the structural evolution of nanoparticles are also mentioned in this chapter In Chapter three the synthesis of silver nanoparticles with …
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Noncommutative Kernels
… of complex analysis and Hilbert-space operator theory, and they have recently been extended to the setting of free noncommutative function theory. In this paper, we develop the subject further in a number of directions. We give a characterization of completely positive noncommutative kernels in …
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On Connections Between Univalent Harmonic Functions, Symmetry Groups, and Minimal Surfaces
… and complex analysis to build up the necessary theory for studying applications of univalent harmonic function theory to minimal surfaces. We then proceed to consider convex combination harmonic mappings of the form f=sf_1+(1-s) f_2 and give conditions on when f lifts to a one-parameter family …
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Purpose and Design in Organisms and Artifacts: The Search for a Unified Philosophical Theory of Function
<p>This work examines the concept of function in both biological organisms and designed artifacts. Function is routinely attributed within both kinds of systems, yet it is unclear whether it can mean the same thing within each, and indeed whether function attribution within natural systems is …
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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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Development of a Multiscale Atomistic Code to Investigate Self-Organized Pattern Formation Induced by Ion Irradiation
… has been mainly relied on the Bradley-Harper theory that attributes the formation of self-organized patterns to the interplay between roughening by curvature dependence of erosion and smoothening by surface diffusion. Recently, the development of the crater function theory has overturned this …
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