The concept of vector-valued nonuniform multiresolution analysis on local field of positive
characteristic was considered by Shah and Bhat. We construct the associated wavelet …

Due to their adaptive nature, empirical wavelets had several successes in many fields from
engineering, science, medical signal/image processing. Recently, a general theoretical …

A constructive algorithm based on the theory of spectral pairs for constructing nonuniform
wavelet basis in L^ 2 (\mathbb R) L 2 (R) was considered by Gabardo and Nashed (J Funct …

Wavelet frames are different from the orthonormal wavelets because of redundancy. By
sacrificing orthonormality and allowing redundancy, wavelet frames become much easier to …

Abstract Ahmad and Shiekh in Filomat 34: 6 (2020), 2091-2099 have constructed dual
wavelet frames in Sobolev spaces on local fields of positive characteristic. We continued the …

Abstract Bhat in Annal. Univ. Craiova, Math. Comp. Scien. Series 49: 2 (2022), 401-410 has
studied nonhomogeneous wavelet bi-frames in Sobolev spaces on local fields of positive …

Dual frames are generalized Riesz bases which have potential applications in signal
processing. In this paper, the construction of dual frames of matrix-valued wave packet …

Balan in [2] introduced the novel concept of superframes, whereas Han and Larson
introduced it in the context of “multiplexing” in [22]. In recent times, the research of …

By a local field, we mean a field K and an associated topology such that both groups, group
under addition and group under multiplication, have the properties of locally compactness …

A generalization of Mallat's classical multiresolution analysis, based on the theory of spectral
pairs, was considered in two articles by Gabardo and Nashed. In this setting, the associated …