TY - JOUR
AU - O. V. Kotova
AU - R. M. Trigub
PY - 2015/08/25
Y2 - 2024/09/14
TI - 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
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 67
IS - 8
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2047
AB - 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.
ER -