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(2001)In Chapter 5, we prove two other equations on page 45 of Ramanujan's lost notebook by using the BauerMuir transformation and by using the method of successive approximation. Also, we prove several continued fractions of ...
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(2004)The second part of the thesis is devoted to the qualitative analysis of weighted operators, where the weights are obtained by almost everywhere sampling in a stationary stochastic process. The major theme of our investigation ...
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(1990)We discuss the quantization of Anomalous Gauge Theories (AGT) both in the context of functional integration and canonical Hamiltonian approach. The WessZumino term (WZT), which repairs gauge symmetry in AGT is discussed ...
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(1967)
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(2003)In this thesis the notion of Schottky quasiconformal groups is introduced. We study Schottky quasiconformal groups and show that the limit set L(G) of any Schottky quasiconformal group G is uniformly perfect. Then the ...
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(1991)Nondifferentiable quasiconvex programming problems are studied using Clarke's subgradients. Several conditions sufficient for optimality are derived. Under certain regularity conditions on the constraint functions, we also ...
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(1995)Here we generalize quasigeodesics to multidimensional Alexandrov space with curvature bounded from below and prove that classical theorems of Alexandrov also hold for this case. Also we develop gradient curves as a tool ...
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(1995)In the first part of this thesis, we prove Ramanujan's formulas for the coefficients in the power series expansions of certain modular forms. We prove his formulas for the coefficients of 1/$E\sb4, E\sb4/E\sb6$ and other ...
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(2000)Given an adapted probability measure on a locally compact group, there are a variety of support conditions which cause the concentration functions to go to zero. This work discusses the rate of this decay under many such ...
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(2003)Finally, this thesis uses dynamical systems techniques to prove already known results in continued fractions.
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(2008)Lattice varieties play an important role in several areas of mathematics. In this thesis we investigate the properties of rational points on lattice varieties over Witt vectors with algebraically closed residue field in ...
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(1992)Let F$\sb{n,m}$ denote the set of all real forms of degree m in n variables. In 1888, Hilbert proved that a form P $\in$ F$\sb{n,m}$ which is positive semidefinite (psd) must have a representation as a sum of squares (sos) ...
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Now showing items 743762 of 996