Work

Schauder frames of discrete translates in L 2 ( R )

Year: 2025

Type: article

Abstract: We construct a uniformly discrete sequence { λ 1 < λ 2 < ⋯ } ⊂ R and functions g and { g n ⁎ } ⁎ in L 2 ( R ) , such that every f ∈ L 2 ( R ) admits a series expansion f ( x ) = ∑ n = 1 ∞ 〈 f , g n ⁎ 〉 g ( x − λ n ) ⁎ convergent in the L 2 ( R ) norm.

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2025.111318

Authors: Nir Lev, Anton Tselishchev

Institutions: Bar-Ilan University, St. Petersburg Department of Steklov Institute of Mathematics, Steklov Mathematical Institute

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,250

Funders: Israel Science Foundation, Islamic Scholarship Fund