Functions of bounded p-variation and weighted integrability of Fourier transforms
Functions of bounded p-variation and weighted integrability of Fourier transforms is a scholarly work, published in 2019 in ''Acta Mathematica Hungarica''. The main subjects of the publication include fractional Fourier transform, mathematics, Fourier transform, pure mathematics, mathematical analysis, Fourier series, bounded function, smooth function, principal bundle connection, harmonic analysis, inverse problem, Fourier analysis, modulus, and function of bounded variation. The authors study some properties of functions of bounded p-variation on $$\mathbb{R}$$ and its specific fractional moduli of smoothness, including the connection between p-variational and Lp best approximations and moduli of smoothness.