Summation and intersection of refinable shift invariant spaces

作者：Dai XinRong; Song JunQuan^*

来源：Science China Mathematics, 2011, 54(10): 2087-2097.

DOI：10.1007/s11425-011-4297-3

• refinable distribution
• shift invariant space
• linearly independent property

We study shift invariant spaces generated by refinable distributions. We classify the summation and the intersection of shift invariant spaces generated by refinable distributions, and prove that they are also shift invariant spaces generated by refinable distributions.

• 出版日期2011-10
• 单位浙江工业大学; 中山大学