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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 135 for “"Fourier Series"”.
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On Fourier series
Thesis (M.A.)--University of Kansas, Mathematics, 1923.
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Probability and Fourier Series
Made available in DSpace on 2014-12-05T21:50:25Z (GMT). No. of bitstreams: 1 6402955.pdf: 2932082 bytes, checksum: b19b5be40436ec993746522da4d5d224 (MD5) Previous issue date: 1963
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HILBERT SPACES AND FOURIER SERIES
… necessary to understand the convergence of the Fourier series for square integrable functions. I state the necessary theorems and definitions to understand the formulations of the problem in a Hilbert space framework, and then I give some applications of the theory along the way.</p>
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Pointwise and uniform convergence of fourier series on SU(2)
… special unitary group SU (2). We prove that the Fourier partial sums of f converge to f uniformly on SU (2), thereby extending theorems of Caccioppoli, Mayer, and a special case of Ragozin. Pointwise convergence theorems for the Fourier series of functions on SU (2), due to Liu and Qian, were …
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On the fourier series of the square of a function
Thesis (Ph.D.) Massachusetts Institute of Technology. Dept. of Mathematics, 1946.
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Fourier Series Applications in Multitemporal Remote Sensing Analysis using Landsat Data
… parameter estimates, generating a robust time series of vegetation index values. These values are classified into strata maps in Alabama, USA, depicting regions of similar growth potential. These maps are applied to Forest Service Forest Inventory and Analysis (FIA) plots, generating …
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Notes on generalized Fourier series with application to gravitational field determination
… functions L². Let f𝜖L². The generalized Fourier series of f with respect to {(}φ<sub>n</sub>(x)} is the series ∑<sub>n=0</sub><sup>∞</sup> (f, φ<sub>n</sub>) φ<sub>n</sub>(x), where (f, φ<sub>n</sub>) is the inner product of the functions f an φ<sub>n</sub>. The e existence of a complete …
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Almost everywhere convergence of dyadic partial sums of Fourier series for almost periodic functions
… dyadic partial sums of the Fourier series of \(f\) converge almost everywhere for \(p\) \(\in\) (1, \(\infty\)). In 1968, E. A. Bredihina established an analogous result for the Stepanov spaces of almost periodic functions in the case \(p\) = 2. Here, a new proof of the …
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Developments and extensions of Roth's method of double Fourier series with applications to the solution of electromagnetic field problems
… the slow rate of convergence of the double Fourier series and the restrictive form of the allowable boundary conditions. A combined Roth-separation of variables method is derived to remove the restrictions on the form of the boundary conditions and various Chebyshev approximations are used …
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The dynamic response of a flexible three-link robot using strain gages, Lagrange polynomials, Fourier series, and the finite element analysis
This thesis presents theoretical and experimental methods for determining the static and dynamic response, in three dimensional space, of a flexible three-link robotic manipulator. The Links are designed to deform elastically under static and dynamic loads. Lagrange polynomials are derived to …
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Frequency-domain analysis of memoryless nonlinearities having large-signal, almost periodic excitations
… Such techniques require that one compute the Fourier series for the response of each nonlinear circuit element, given a known excitation. Current approaches to this computation encounter difficulty when the response is almost periodic (that is, when the frequencies in its Fourier series are …
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Multidimensional Generalization of Kolmogorov-Seliverstov-Plessner Test
… brief description of two most important tests of Fourier series namely Dini-Dirichel and Kolmogorov-Seliverstov-Plessner test. We develop further some results of L.V. Zhizhiashvili to obtain a multidimensional anisotropic version of the Kolmogorov-Seliverstov-Plessner test on convergence almost …
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Orthogonal Filters and the Implications of Wrapping on Discrete Wavelet Transforms
… Coiflet filters. Subsequently, we analyze the Fourier series that corresponds to each of those filters and recall some important results about the smoothness of the modulus of those Fourier series. We consider a specialized case in which the length of the discrete wavelet transform is not much …
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An Exploratory Study on Methods for Interpolating and Extrapolating Baseball Win-Loss Percentage
… of the season. The first model we present is a Fourier series model that fits the teams’ win-loss percentage (W-L%). We hypothesize that a team’s W-L% can be modeled by a sum of cosine and sine curves as every team has winning seasons and losing seasons. The second model we suggest is a cubic …
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A Fourier finite element model for unsaturated flow in porous media
… flow equation. The algorithms are based on a Fourier finite element type of formulation, which combines the efficiency of the Fourier series expansion as a refinement tool and the finite element method, where the spatial domain is divided into discrete elements and nodal points. A truncated …
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Estruturas tridimensionais com propriedades mecânicas dos materiais representadas matematicamente por séries - aplicação à análise de pontes
… The mechanical properties are expanded into FOURIER series, allowing for variations in the material and geometric characteristics of the structure. Besides the mechanical properties, all the other dependent variables are also expanded into FOURIER series. As a consequence of the series …
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Computer-Based Animation of an Articulated Body
… quadruped gaits and gait transitions based on Fourier series analysis of horse movement is proposed. The methodology has been used to define a generic rotoscoped model for movement, which although developed from horse movement data, could be equally applied to any other quadruped. The …
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An harmonic analysis for operators on homogeneous Banach spaces.
… properties. With each T ∈ L (B), we associate a Fourier series and show that this series converges to T in a certain specified sense. For G = T , we show that formal properties of the usual Fourier series hold and also obtain a generalization of the classical F. and M. Riesz theorem for B = CT . …
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