Two classes of linear equations of discrete convolution type with harmonic singular operators. Issue 1 (2nd January 2016)

• Record Type: Journal Article
• Authors: Li, Pingrun
• Is Part Of: Complex variables and elliptic equations. Volume 61:Issue 1(2016)
• Page Start: 67
• Page End: 75
• Publication Date: 2016-01-02
• Subjects: harmonic singular operator -- equations of convolution type -- Riemann boundary value problems -- Laurent transform; 45E05 -- 45E10 -- 45L05 -- 65R20; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2015.1057712
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : In this paper, we investigate two classes of linear equations of discrete convolution type with harmonic singular operator. Using the Laurent transform theory, we turn the above linear equations into Riemann boundary value problems. Then, the solutions of the equations are obtained in the class of Hölder continuous functions.