Basicity of the systems of sines and cosines with linear phases in grand-Sobolev spaces

Authors

• Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
• Togrul R. Muradov
• Seadet A. Nurieva
• Azerbaijan Tourism and Management University, Baku, Azerbaijan
• Valid F. Salmanov
• Azerbaijan State Oil and Industry University, Baku, Azerbaijan

Page

172-178

Abstract

In this work systems of sines 1∪ {sin (n − β)t}n≥1 and 1∪ {cos (n − β)t}n≥1 cosines are considered, where β is real parameter. Criterion for the completeness, minimality and basicity of these systems with respect to the parameter β in one subspace of grand-Sobolev space are found.

Recommended Citation

Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan; Muradov, Togrul R.; Nurieva, Seadet A.; Azerbaijan Tourism and Management University, Baku, Azerbaijan; Salmanov, Valid F.; and Azerbaijan State Oil and Industry University, Baku, Azerbaijan (2022) "Basicity of the systems of sines and cosines with linear phases in grand-Sobolev spaces," Baku Mathematical Journal: Vol. 1: Iss. 2, Article 6.
DOI: 10.32010/j.bmj.2022.18
Available at: https://www.bakumathj.org/home/vol1/iss2/6