Lebesgue Points and Summability of Higher Dimensional Fourier Series

af Ferenc Weisz

This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue¿s theorem, filling a gap in the literature. Recent results and real-world applications are hi... (Læs mere)