TY - JOUR T1 - Some Estimates for the Fourier Transform on Rank 1 Symmetric Spaces JO - Analysis in Theory and Applications VL - 2 SP - 103 EP - 111 PY - 2018 DA - 2018/07 SN - 34 DO - http://doi.org/10.4208/ata.2018.v34.n2.1 UR - https://global-sci.org/intro/article_detail/ata/12579.html KW - Fourier transform, generalized continuity modulus, symmetric space. AB -

Two estimates useful in applications are proved for the Fourier transform in the space $\rm{L}^2(\rm{X})$, where $\rm{X}$ a symmetric space, as applied to some classes of functions characterized by a generalized modulus of continuity.