On Asymptotically Orthonormal Sequences. (1st December 2017)

• Record Type: Journal Article
• Authors: Fricain, Emmanuel; Rupam, Rishika
• Is Part Of: Canadian journal of mathematics. Volume 69:Number 6(2017)
• Page Start: 1312
• Page End: 1337
• Publication Date: 2017-12-01
• Subjects: 30J05 -- 30H10 -- 46E22; function space -- de Branges-Rovnyak and model space -- reproducing kernel -- asymptotically orthonormal sequence; Mathematics -- Periodicals; Mathematics; Electronic journals; Periodicals; 510
• DOI: 10.4153/CJM-2017-001-9
• Languages: English
• ISSNs: 0008-414X

Abstract

Abstract: An asymptotically orthonormal sequence is a sequence that is nearly orthonormal in the sense that it satisfies the Parseval equality up to two constants close to one. In this paper, we explore such sequences formed by normalized reproducing kernels for model spaces and de Branges–Rovnyak spaces.