Multiframelet Properties on ℚ_p

2019/04/24 by Debasis Haldar, Haldar, Debasis
Chemistry · Computer Science · Mathematics · #11E95 #42C15 #42C40 #Advanced Data Compression Techniques #Artificial intelligence #Chemistry #Combinatorics #Computer science #Discrete mathematics #FOS: Mathematics #Frame (networking) #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematics #Operator (biology) #Physics #Sequence (biology) #Set (abstract data type) #Telecommunications #Wavelet #advanced mathematical theories #math.FA #msc:11E95 #msc:42C15 #msc:42C40

paper · pdf · doi:10.48550/arxiv.1904.10757

published in arXiv (Cornell University) (Cornell University) · 11 pages

openalex publication_date 2019/04/24 · arxiv created 2020/09/14 · arxiv updated 2020/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper produces various results on p-adic multiframelet. Multiframelet is a frame-like sequence generated by multiple functions along with wavelet structure. Various properties of multiframelet in L²(ℚ_p) have been analyzed. Also multiframelet operator on p-adic setting has been produced and characterized. Furthermore, multiframelet set in ℚ_p has been engendered and scrutinized.

Citations

• The wavelet transform, time-frequency localization and signal analysis
• Continuous and Discrete Wavelet Transforms

Related

• Characterization of Multiframelet Set on Local Fields of Positive Characteristic
• p-Adic multiresolution analysis and wavelet frames
• p-adic tight wavelet frames
• p-Adic multiresolution analyses
• On approximation by tight wavelet frames on the field of p-adic numbers