Convergence and divergence of series conjugate to a convergent multiple Fourier series
نویسندگان
چکیده
منابع مشابه
Convergence and Divergence of Series Conjugate to a Convergent Multiple Fourier Series by J. Marshall Ash(1) and Lawrence Gluck
In this note we consider to what extent the classical theorems of Plessner and Kuttner comparing the set of convergence of a trigonometric series with that of the conjugate trigonometric series can be generalized to higher dimensions. We show that if a function belongs to LP, p > 1, of the 2-torus, then the convergence (unrestricted rectangular convergence) of the Fourier series on a set implie...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1975
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1975-0385453-x