Work

Gabor systems with Hermite functions of order $$N$$ and oversampling greater than $$N+1$$ which are not frames

Year: 2025

Type: article

Abstract: We show that a sufficient density condition for Gabor systems with Hermite functions over lattices is not sufficient in general. This follows from a result on how zeros of the Zak transform determine the frame property of integer over-sampled Gabor systems.

Source: Sampling Theory Signal Processing and Data Analysis

DOI: 10.1007/s43670-025-00112-5

Author: Markus Faulhuber

Institution: University of Vienna

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: Austrian Science Fund, Universität Wien