论文标题
翻译系统和特殊的仿射傅立叶变换
The system of translates and the special affine Fourier transform
论文作者
论文摘要
与特殊仿射傅立叶变换（SAFT）$ \ MATHSCR {F} _a $相关的翻译操作员$ t^a $是从谐波分析的角度引入的。在SAFT的背景下，Wendel定理，Wiener定理，Weiner-Tauberian定理和Bernstein Type不平等的类似物。引入和研究了与特殊仿射傅立叶变换相关的偏移不变空间$ v_a $以及采样问题。
The translation operator $T^A$ associated with the special affine Fourier transform (SAFT) $\mathscr{F}_A$ is introduced from harmonic analysis point of view. The analogues of Wendel's theorem, Wiener theorem, Weiner-Tauberian theorem and Bernstein type inequality in the context of the SAFT are established. The shift invariant space $V_A$ associated with the special affine Fourier transform is introduced and studied along with sampling problems.
