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Besov‐Type Spaces Associated With Dunkl Wavelet Transform on ℝ

Year: 2025

Type: article

Abstract: ABSTRACT We define the Besov‐type spaces related to Dunkl transform. We extend the concept of continuous wavelet transform on space and derive continuity of Dunkl wavelet transform on Besov‐type spaces. We characterize the Besov–Dunkl space by using Dunkl wavelet coefficients. Lastly, boundedness results in a generalized Besov space and Lizorkin–Triebel space are discussed.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10769

Authors: Randhir Kumar Verma, Akhilesh Prasad

Institution: Indian Institute of Technology Dhanbad

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4407093842

FWCI:

Cites: 21

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Related to: 10