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Showing 1 to 4 of 4 for “"Almost everywhere convergence"”.
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Some Almost Everywhere Convergence Theorems for Positive Definite Operators
Made available in DSpace on 2014-12-09T22:17:18Z (GMT). No. of bitstreams: 1 6503166.pdf: 1468533 bytes, checksum: bdbac8c178369e41c46e7bd4eeb1ae29 (MD5) Previous issue date: 1964
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Almost everywhere convergence of dyadic partial sums of Fourier series for almost periodic functions
… 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 almost everywhere convergence result …
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Qualitative and Quantitative Analysis of Weighted Ergodic Theorems
… operators, where the weights are obtained by almost everywhere sampling in a stationary stochastic process. The major theme of our investigation is whether one can break the duality, in other words, if one still gets convergence if the duality restriction is removed. Given the difficulty of …
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Martingale Convergence Techniques in Noncommutative Integration
… analysis. The first problem we study is norm convergence for the Fourier transform of the noncommutative Vilenkin system. By using martingale constructions and techniques from noncommutative Calderon-Zygmund theory, we are able to prove a uniformly bounded weak type (1,1) estimate for the …