@article{Kotova_Trigub_2015, title={A New Sufficient Condition for Belonging to the Algebra of Absolutely Convergent Fourier Integrals and Its Application to the Problems of Summability of Double Fourier Series}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2047}, abstractNote={We establish a general sufficient condition for the possibility of representation of functions
$$f\left( \max \left\{\left|{x}_1\right|,\left|{x}_2\right|\right\}\right)$$
in the form of absolutely convergent double Fourier integrals and study the possibility of its application to various problems of summability of double Fourier series, in particular, by using the Marcinkiewiczâ€“Riesz method.}, number={8}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={KotovaO. V. and TrigubR. M.}, year={2015}, month={Aug.}, pages={1082-1096} }