论文标题

量子微积分中广义的Weinstein变换的真实Paley-Wiener定理

Real Paley-Wiener Theorem for the Generalized Weinstein transform in quantum calculus

论文作者

Bettaibi, Youssef, Mohamed, Hassen Ben

论文摘要

我们首先将紧凑型支持的平滑均匀函数的图像描述为Q-Weinstein变换下的平滑均匀功能,作为Schwartz空间的子空间。然后,我们描述平滑$ l_ {α,q,a}^{2} $的空间 - Q-Weinstein变换具有紧凑的支持作为$ l_ {α,q,a}^{2} $ functions空间的子空间。

We first characterize the image of the compactly supported smooth even functions under the q-Weinstein transform as a subspace of the Schwartz space. We then describe the space of smooth $L_{α, q, a}^{2}$-functions whose q-Weinstein transform has compact support as a subspace of the space of $L_{α, q, a}^{2}$-functions.

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