Convergence Criteria for Double Fourier Series
Convergence Criteria for Double Fourier Series
Introduction.We shall consider here analogues for double Fourier series of certain convergence criteria for simple Fourier series.The tests for simple series in question are the familiar tests of Dini, Jordan, de la Vallée-Poussin, Lebesgue, Young, and Hardy and Littlewood, and the tests obtained by various authors in generalizing the Young …