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math.CA2022
Cosine polynomials with restrictions on their algebraic representation
Kristina Oganesyan
We prove that for any even algebraic polynomial one can find a cosine polynomial with an arbitrary small -norm of coefficients such that the first coefficients of its repr…
math.CA2022★ 3 cited
Two-dimensional Hardy-Littlewood theorem for functions with general monotone Fourier coefficients
Kristina Oganesyan
We prove the Hardy-Littlewood theorem in two dimensions for functions whose Fourier coefficients obey general monotonicity conditions and, importantly, are not necessarily positive…