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 2520 for “"Fourier"”.
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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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Fourier Analysis of Wave Equations
… Sciences. In this thesis, I mainly use Fourier analysis and PDE methods to study the solution to an inhomogeneous wave equation on Euclidean spaces. I obtained the existence, uniqueness, and regularity for the solution. In the classical case, the datum involved is required to have up to …
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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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On Fourier-Mukai type functors
… way, namely whether they are isomorphic to a Fourier-Mukai transform. Specifically, we describe the behavior of a functor between derived categories of smooth projective varieties when restricted to the derived category of the generic point of the second variety, when this last variety is a …
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Sparse recovery and Fourier sampling
… subclass of sparse recovery is the sparse Fourier transform, which considers the computation of a discrete Fourier transform when the output is sparse. Applications of the sparse Fourier transform include medical imaging, spectrum sensing, and purely computation tasks involving convolution. …
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Fourier decoupling for convex sequences
… the decoupling theory for functions on R with Fourier transform sup- ported in a neighborhood of a convex sequence [formula], where [formula] and 𝑔 : [0, 1] → R is a 𝐶² function satisfying 𝑔′(𝑥) > 0, 𝑔′′(𝑥) > 0 for every 𝑥 ∈ [0, 1]. We utilize the wave packet structure of functions with …
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The Fourier Transform and Some Applications
<p>none</p>
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Laser-based Fourier ptychographic microscopy (FPM)
… results obtained by implementing the Fourier ptychographic microscopy technique using a laser HLG. We demonstrate that laser HLG illumination shows better high-resolution images with a large field of view in comparison to traditional LED-HDC. In addition, we notice the quality of the …
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Martingales, Singular Integrals, and Fourier Multipliers
… 1 < <em>p</em> < ∞, of singular integrals and Fourier multipliers. We will use a combination of analytic and probabilistic methods to study analytic properties of these constructions and obtain results which cannot be obtained using probability alone.</p> <p>In particular, we will show that a …
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Fourier Inversion Formulas of Orbital Integrals
Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7708928.pdf: 2084430 bytes, checksum: 6d6d50df8f6ed57770558805318d280b (MD5) Previous issue date: 1976
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The sparse fourier transform : theory & practice
The Fourier transform is one of the most fundamental tools for computing the frequency representation of signals. It plays a central role in signal processing, communications, audio and video compression, medical imaging, genomics, astronomy, as well as many other areas. Because of its widespread …
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Sparse Fourier restriction for the cone
In Fourier restriction theory, weighted inequalities allow us to probe the shape of level sets. In this thesis, we describe a new weighted Fourier extension estimate for the cone and its connection with the Mizohata–Takeuchi conjecture. The main result Theorem 3.1 builds on techniques from geometry …
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Approximation and computation of fourier transforms
Thesis (B.S.) Massachusetts Institute of Technology. Dept. of Mathematics, 1956.
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Optimizing a parallel fast Fourier transform
Parallel computing, especially cluster computing has become more popular and more powerful in recent years. Star-P is a means of harnessing that power by eliminating the difficulties in parallelizing code and by providing the user with a familiar and intuitive interface. This paper presents methods …
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Fast Fourier transform square wave voltammetry
Fast Fourier transforms are introduced as a.unique digital data handling tool for square wave voltammetry. Theoretical square wave voltammogra.ms were examined to study the effect of experimental parameters in the spatial frequency domain. A new method was developed to determine truncation …
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Multidimensional random sampling for Fourier transform estimation
This research considers the Fourier transform calculations of multidimensional signals. The calculations are based on random sampling, where the sampling points are nonuniformly distributed according to strategically selected probability functions, to provide new opportunities that are unavailable …
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