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Let a function f belong to the Lebesgue class , , and let be the Fourier transform of f. The classical theorem of E. Titchmarsh states that if the function f belongs to the Lipschitz class , , then...

We use the methods of Fourier–Jacobi harmonic analysis to study problems of the approximation of functions in weighted L2 function spaces on the half-axis [0,+∞). We define function spaces of Nikol...

We use the methods of Fourier–Jacobi harmonic analysis to study problems of the approximation of functions in weighted L2 function spaces on the half-axis [0,+∞). We prove analogues of Jack...