Dual continuous $K$-Frames in Hilbert spaces

TL;DR

This paper introduces and studies dual continuous $K$-frames in Hilbert spaces, expanding the theoretical framework and establishing new properties relevant to applications in mathematics, computer science, and engineering.

Contribution

It presents the concept of dual continuous $K$-frames in Hilbert spaces and establishes new properties, advancing the theoretical understanding of frame generalizations.

Findings

Introduction of dual continuous $K$-frames

New properties of these frames established

Potential applications in various fields

Abstract

Frame theory is recently an active research area in mathematics, computer science and engineering with many exciting applications in a variety of different fields. This theory has been generalized rapidly and various generalizations of frames in Hilbert spaces. In this papers we study the notion of dual continuous $K$-frames in Hilbert spaces. Also we etablish some new properties.