A Criterion of Sampling Theorems on Banach Function Spaces

作者：Izuki Mitsuo^*; Sawano Yoshihiro

来源：Tokyo Journal of Mathematics, 2013, 36(1): 131-145.

DOI：10.3836/tjm/1374497515

• Sampling theorem
• Banach function space
• wavelet
• variable exponent
• A(p) weight

In the present paper, we consider sampling theorems on Banach function spaces. Here we obtain a necessary and sufficient condition. For the latter half of the paper, we consider sampling theorems in terms of wavelets.

• 出版日期2013-6