Lebesgue Points and Summability of Higher Dimensional Fourier Series

“The author's aim to make the book almost self-contained is achieved. … The reviewer was a witness to and sometimes a participant in the early days of introducing multidimensional Lebesgue points in the problems of summability of Fourier series and Fourier transforms. It is a pleasure for him, and hopefully one of the advantages of the book, that more or less all the contributions to the topic, even old and not easily accessible ones, are referred to and taken into account.” (Elijah Liyand, Mathematical Reviews, August, 2022)“The book is mainly based on the very many interesting author’s results published in the last 20–30 years. It will be useful for … graduate, postgraduate and Ph.D. students.” (Sorin Gheorghe Gal, zbMATH 1475.42017, 2022)

• One-dimensional Fourier series.- lq-summability of higher dimensional Fourier series.- Rectangular summability of higher dimensional Fourier series.- Lebesgue points of higher dimensional functions.