Abstract
This paper is concerned with the convergence of double trigonometric series and Fourier series. Since the beginning of the 20th century, many authors have studied on those series. Also, Ferenc <TEX>$M{\acute{o}}ricz$</TEX> has studied the convergence of double trigonometric series and double Fourier series so far. We consider <TEX>$L^p(T^2)$</TEX>-convergence results focused on the Ferenc <TEX>$M{\acute{o}}ricz^{\prime}s$</TEX> studies from the second half of the 20th century up to now. In section 2, we reintroduce some of Ferenc <TEX>$M{\acute{o}}ricz^{\prime}s$</TEX> remarkable theorems. Also we investigate his several important results. In conclusion, we investigate his research trends and the simple minor genealogy from J. B. Joseph Fourier to Ferenc <TEX>$M{\acute{o}}ricz$</TEX>. In addition, we present the research minor lineage of his study on <TEX>$L^p(T^2)$</TEX>-convergence.
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