Wavelet transform of generalized functions in $K^{prime}{ M_p}$ spaces

Proceedings Mathematical Sciences

R S Pathak²  Abhishek Singh¹ 

[1] $$;DST Centre for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi 00, India$$

关键词: Continuous wavelet transform;    Schwartz distributions;    Gel’fand-Shilov spaces $K{ M_p}$ and $K^{prime} { M_p}$.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Using convolution theory in $K{ M_p}$ space we obtain bounded results for the wavelet transform. Calderón-type reproducing formula is derived in distribution sense as an application of the same. An inversion formula for the wavelet transform of generalized functions is established.

【 授权许可】

Unknown