L 1-convergence of complex double fourier series
نویسندگان
چکیده
منابع مشابه
L1-convergence of complex double Fourier series
It is proved that the complex double Fourier series of an integrable function f (x,y) with coefficients {c jk} satisfying certain conditions, will converge in L 1norm. The conditions used here are the combinations of Tauberian condition of Hardy– Karamata kind and its limiting case. This paper extends the result of Bray [1] to complex double Fourier series.
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ژورنال
عنوان ژورنال: Proceedings Mathematical Sciences
سال: 2003
ISSN: 0253-4142,0973-7685
DOI: 10.1007/bf02829630