Decay of (p,q)-Fourier coefficients | Zendy

D. E. Edmunds | Zendy; Petr Gurka | Zendy; Ján Lang | Zendy

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Decay of (p,q)-Fourier coefficients

Author(s) -

D. E. Edmunds,

Petr Gurka,

Ján Lang

Publication year - 2014

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2014.0221

Subject(s) - sine , fourier transform , fourier series , standard probability space , mathematics , lebesgue integration , basis (linear algebra) , fourier sine and cosine series , mathematical analysis , fourier analysis , function (biology) , space (punctuation) , physics , geometry , fractional fourier transform , computer science , evolutionary biology , biology , operating system

We show that essentially the speed of decay of the Fourier sine coefficients of a function in a Lebesgue space is comparable to that of the corresponding coefficients with respect to the basis formed by the generalized sine functions sin p,q .

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