Multiplier Between Generalized Toeplitz Kernels

TL;DR

This paper provides a new classification of multipliers between generalized Toeplitz kernels, connecting them to Carleson embeddings, Beurling-Malliavin densities, Pólya sequences, and spectral theory of entire functions.

Contribution

It extends previous work by developing a structural classification and establishing new equivalences involving multiplier spaces and advanced function theory concepts.

Findings

Established new equivalences between multiplier spaces and Carleson-type embeddings

Linked multipliers to Beurling-Malliavin densities and Pólya sequences

Connected the theory to spectral analysis of entire functions

Abstract

We develop a structural classification of multipliers between generalized Toeplitz kernels, extending the work of Fricain and Rupam. Our results establish new equivalences between multiplier space and Carleson-type embeddings, linking them to Beurling Malliavin densities, P\'olya sequences, and the spectral theory of entire functions.