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Showing 1 to 16 of 16 for “"Functional Equations"”.
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Meromorphic Solutions of a System of Functional Equations Involving the Modular Group
Made available in DSpace on 2014-12-09T22:17:59Z (GMT). No. of bitstreams: 1 7105053.pdf: 3226109 bytes, checksum: dfc8c10d5022eff4d0118209ef7453c4 (MD5) Previous issue date: 1970
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Analytic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Subgroups
… and obtain the analytic continuation and functional equations of cuspidal Eisenstein series for rank one cuspidal subgroups. This approach suggests an alternative development to part of Langlands' theory of Eisenstein series. It also opens up the possibility of more precise knowledge about …
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A technique for the analysis of the invariance identities of classical gauge field theory by means of functional equations.
In order to obtain the equations of motion for a particle in a classical gauge field, a variational principle is considered. The theory is general in that the structural group is an arbitrary r-dimensional Lie group and the base space is an arbitrary n-dimensional psuedo-Riemannian manifold. An n + …
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On THH and TAQ of Commutative S-Algebras
Also, using functional equations, we define functors that generalize standard examples from calculus of one variable. Examples of such functors are discussed and their Taylor towers are computed. We also show that these functors factor through objects enriched over the homology of little n-cubes …
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Integral Representations of Positive Linear Functionals
… integral representations for positive linear functionals on commutative algebras with involution and semigroups with involution. We prove Bochner and Plancherel type theorems for representations of positive functionals and show that, under some conditions, the Bochner and Plancherel …
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Hecke Correspondence for Automorphic Integrals with Infinite Log-Polynomial Periods
… his correspondence between Dirichlet series with functional equations and automorphic forms, there have been a great number of generalizations. Of particular interest is a generalization due to Bochner that gives a correspondence between Dirichlet series with any finite number of poles that …
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On some Two-Dimensional Singular Stochastic Control Problems and their Free-Boundary Analysis
… is used to derive a system of non-linear equations characterizing the constant free-boundaries. This system is solved numerically to provide a comparative static analysis. Finally, in Section 4, we derive the structure of the value function by employing the connection of the singular …
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L-functions in Number Theory
… a unified way, concerns their zeros and poles, functional equations, special values and the connections between objects in different fields. Although most generalizations are largely conjectural, there are many existing results that provide us the evidence. In this thesis, we shall consider some …
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Explicit Formula for the Mean Square of Dirichlet L-Functions to Prime Power Moduli
… analytic continuation, contour shifting, functional equations, and p-adic stationary phase in asymptotics.</p>
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Treebank-based automatic acquisition of wide coverage, deep linguistic resources for Japanese
… resources in the framework of Lexical-Functional Grammar (LFG). After introducing the basic framework of LFG in Chapter 2, I describe the core syntactic and morphological aspects of Japanese in Chapter 3: non-configurationality; the concept of "bunsetsu" r syntactic units and their …
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Configuration Complexes and Tangential and Infinitesimal versions of Polylogarithmic Complexes
… but it has the advantage of satisfying similar functional equations as the group $\mathcal{B}_2(F)$. We put this in a complex to form a variant of Cathelineau's infinitesimal complex for weight 2. Furthermore, we define $\beta_3^D(F)$ for the corresponding infinitesimal complex in weight 3. One …
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L-functions and J-spectra
… of the Dirichlet J-spectra, which resembles the functional equations of the Dirichlet L-functions. In this sense, the Dirichlet J-spectra constructed in this paper are analogs of Dirichlet L-functions in chromatic homotopy theory.
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Optimal inspection and maintenance for stochastically deteriorating systems
… which allows us to determine integral and functional equations for the maintenance cost of the system. Solutions to these determine optimal periodic and non-periodic inspection and maintenance policies. Throughout the thesis we use the gamma process degradation model as an example. For this …
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Reciprocal classes of continuous time Markov Chains
… With the first approach one produces a family of functional equations whose only solutions are precisely the elements of the reciprocal class. These equations are integration by parts on path space associated with derivative operators which perturb the paths by mean of the addition of random …
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Problemas de valor inicial en la construcción de sucesiones mayorizantes para el método de Newton en espacios de Banach
Es bien conocido que la resolución de ecuaciones no lineales de la forma F(x) = 0, donde F es un operador no lineal definido entre espacios de Banach, es un problema habitual en las ciencias e ingenierías. Habitualmente se buscan aproximaciones numéricas de las raíces de la ecuación anterior, …