The Journal of the Indian Mathematical Society

R. P. Boas ¹, S. Izumi ²

Affiliations
1 Northwestern University, US
2 University of Chicago, US

Abstract

Let f be an integrable function of period 2n. Our main concern is with the absolute convergence of the Fourier series of some functions derived from f , particularly when f itself has an absolutely convergent Fourier series. For the sake of simplicity we confine our discussion to cosine series, although most of our results hold mutatis mutandis for sine series or general Fourier series.

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R. P. Boas ¹

Affiliations
1 Northwestern University, Evapston, Illinois, US

Abstract

Let f(z) be an entire function of positive exponential type c; Plancherel and Polya [7] showed that if f(x) belongs to L^p on the real axis (where p > 0) then the series.

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