摘要 : Necessary and sufficient conditions for a function / to belong to the generalized Lipschitz classes H_(q,v)~(m,w) and h_(q,v)~(m,w) for fractional m are given in terms of its q-Bessel-Fourier transform F_(q,v)(f). Dual results are... 展开 Necessary and sufficient conditions for a function / to belong to the generalized Lipschitz classes H_(q,v)~(m,w) and h_(q,v)~(m,w) for fractional m are given in terms of its q-Bessel-Fourier transform F_(q,v)(f). Dual results are considered as well. An analog of the Titchmarsh theorem for fractional-order differences is proved. 收起