Uncertainty principles for the Opdam–Cherednik transform on modulation spaces. Issue 3 (4th March 2021)

• Record Type: Journal Article
• Authors: Poria, Anirudha
• Is Part Of: Integral transforms and special functions. Volume 32:Issue 3(2021)
• Page Start: 191
• Page End: 206
• Publication Date: 2021-03-04
• Subjects: Opdam–Cherednik transform -- modulation spaces -- Cowling–Price's theorem -- Hardy's theorem -- Morgan's theorem; 44A15 -- 42B35 -- 43A32 -- 33C45; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2020.1813129
• Languages: English
• ISSNs: 1065-2469

Abstract

Abstract : In this paper, we establish the Cowling–Price's, Hardy's and Morgan's uncertainty principles for the Opdam–Cherednik transform on modulation spaces associated with this transform. The proofs of the theorems are based on the properties of the heat kernel associated with the Jacobi–Cherednik operator and the versions of the Phragmén–Lindlöf type result for the modulation spaces.