Search for dissertations about: "Fourier multipliers"
Showing result 1 - 5 of 6 swedish dissertations containing the words Fourier multipliers.
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1. Some new Fourier multiplier results of Lizorkin and Hörmander types
Abstract : This PhD Thesis is devoted to the study of Fourier series and Fourier transform multipliers and it contains four papers (papers A - D) together with an introduction, which put these papers into a general frame. This extensive introduction can also be seen as an independent description of this important area including the historical development and the most important results. READ MORE
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2. Optimization of Rotations in FFTs
Abstract : The aims of this thesis are to reduce the complexity and increasethe accuracy of rotations carried out inthe fast Fourier transform (FFT) at algorithmic and arithmetic level.In FFT algorithms, rotations appear after every hardware stage, which are alsoreferred to as twiddle factor multiplications. READ MORE
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3. Some new Lizorkin multiplier theorems for Fourier series and transforms
Abstract : This Licentiate Thesis is devoted to the study of Fourier series and Fourier transform multipliers and contains three papers (papers A - C) together with an introduction, which put these papers into a general frame. In paper A a generalization of the Lizorkin theorem on Fourier multipliers is proved. READ MORE
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4. Invariant Subspaces in Spaces of Analytic Functions
Abstract : Let D be a finitely connected bounded domain with smooth boundary in the complex plane. We first study Banach spaces of analytic functions on D . The main result is a theorem which converts the study of hyperinvariant subspaces on multiply connected domains into the study of hyperinvariant subspaces on domains with fewer holes. READ MORE
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5. ASIC Implementation of a Delayless Acoustic Echo Canceller: Architecture and Arithmetic
Abstract : Application specific digital signal processors are superior compared to standard digital signal processors in a number of application fields, mainly due to high throughput and low power consumption traded for flexibility. This thesis deals with two areas related to hardware implementation of custom digital signal processors: design methodology and efficient implementation of arithmetic circuits. READ MORE