Wavelets in Sobolev space over local fields of positive characteristics

作者：Pathak Ashish^*; Singh Guru P

来源：International Journal of Wavelets, Multiresolution and Information Processing, 2018, 16(4): 1850027.

DOI：10.1142/S0219691318500273

• Wavelets
• multiresolution analysis
• local fields
• Sobolev space
• Fourier transform

The Sobolev space over local fields H-s (K) is defined. A multiresolution analysis for the Sobolev space is developed. Orthonormal wavelets with respect to these space are constructed and an example is also presented.

• 出版日期2018-7