Open AccessOn spaces of periodic functions with wavelet transforms
Author(s) -
Baby Kalita,
Sunil Kumar Singh
Publication year - 2020
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.37637
Subject(s) - mathematics , wavelet , wavelet transform , sobolev space , pure mathematics , space (punctuation) , discrete wavelet transform , mathematical analysis , harmonic wavelet transform , stationary wavelet transform , computer science , artificial intelligence , operating system
Some boundedness results for the wavelet transform on $F_p([0,1]^n)$ and $F_p^*([0,1]^n)$, the spaces of periodic test functions, are obtained. The wavelet transform is also studied on generalized Sobolev space $B^\kappa_p([0,1]^n)$.
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