@article{dd1c3408243e45c89e61c157bef1141c,
title = "SEMI-CONTINUOUS G-FRAMES IN HILBERT SPACES",
abstract = "In this paper, we introduce the concept of semi-continuous g-frames in Hilbert spaces. We first construct an example of semi-continuous g-frames using the Fourier transform of the Heisenberg group and study the structure of such frames. Then, as an application we provide some fundamental identities and inequalities for semi-continuous g-frames. Finally, we present a classical perturbation result and prove that semi-continuous g-frames are stable under small perturbations.",
keywords = "continuous g-frames, frame identity, g-frames, perturbation, semi-continuous g-frames, stability",
author = "Anirudha Poria",
note = "Funding Information: The author is deeply indebted to Dr. Azita Mayeli for several valuable comments and suggestions. The author is grateful to the United States-India Educational Foundation for providing the Fulbright-Nehru Doctoral Research Fellowship, and Department of Mathematics and Computer Science, the Graduate Center, City University of New York, New York, USA for its kind hospitality during the period of this work. He would also like to express his gratitude to the Norbert Wiener Center for Harmonic Analysis and Applications at the University of Maryland, College Park for its kind support. Publisher Copyright: {\textcopyright} 2020. All Rights Reserved.",
year = "2020",
doi = "10.31392/MFAT-npu263.2020.06",
language = "English",
volume = "26",
pages = "249--261",
journal = "Methods of Functional Analysis and Topology",
issn = "1029-3531",
number = "3",
}