论文标题
定向短期傅立叶超级分布变换
Directional short-time Fourier transform of ultradistributions
论文作者
论文摘要
我们定义和分析了$ K $ - 方向的短时傅立叶变换及其在Gelfand Shilov空间上的合成操作员$ \ Mathcal S^α_β（\ Mathbb r^n）$和$ \ Mathcal S^α_β（\ \ Mathbb r^{k+n}）$和他们的dals和他们的dals。此外，我们研究了定向常规集及其补充 - 方向波前，对于$ \ Mathcal s^{\primeα}_α（\ Mathbb r^n）$的元素。
We define and analyse the $k$-directional short-time Fourier transform and its synthesis operator over Gelfand Shilov spaces $\mathcal S^α_β(\mathbb R^n)$ and $\mathcal S^α_β(\mathbb R^{k+n})$ respectively, and their duals. Also, we investigate directional regular sets and their complements - directional wave fronts, for elements of $\mathcal S^{\prime α}_α(\mathbb R^n)$.
