The completeness of the sines and cosines in the space of integrable functions. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Moiseev, E. I.; Gulyaev, D. A.
• Is Part Of: Integral transforms and special functions. Volume 29:Issue 1(2018)
• Page Start: 16
• Page End: 20
• Publication Date: 2018-01-02
• Subjects: Sine -- cosine -- completeness of the sine -- completeness of the cosine; 30D10 -- 30B60 -- 33B10 -- 33C10; Integral transforms -- Periodicals; Transcendental functions -- Periodicals; Transformations (Mathematics) -- Periodicals; Calculus, Integral -- Periodicals; 515
• DOI: 10.1080/10652469.2017.1398240
• Languages: English
• ISSNs: 1065-2469

Abstract

ABSTRACT: The paper addresses the completeness of sines and cosines with non-integer indices in the space of Lebesgue-integrable functions. The criteria for the variation from the integer value have been found such that sine and cosine systems are complete.