Table of Contents Author Guidelines Submit a Manuscript
International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 717501, 13 pages
Research Article

On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces

1Nakhchivan State University, University Campus, AZ 7000 Nakhchivan, Azerbaijan
2Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, AZ 1141 Baku, Azerbaijan

Received 3 February 2011; Accepted 28 March 2011

Academic Editor: Shyam Kalla

Copyright © 2011 Tofig Isa Najafov and Saeed Farahani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. I. I. Danilyuk, Irregular Boundary Value Problems on a Plane, Nauka, Moscow, Russia, 1975.
  2. B. S. Pavlov, “Basicity of an exponential system and Muckenhoupt's condition,” Doklady Akademii Nauk SSSR, vol. 247, no. 1, pp. 37–40, 1979 (Russian). View at Google Scholar
  3. K. S. Kazaryan and P. I. Lizorkin, “Multipliers, bases and unconditional bases of the weighted spaces B and SB,” Akademiya Nauk SSSR. Trudy Matematicheskogo Instituta imeni V. A. Steklova, vol. 187, pp. 111–130, 1989. View at Google Scholar
  4. S. S. Pukhov and A. M. Sedletskiy, “Bases of exponents, sines and cosines in weight spaces on finite interval,” Proceedings of the Russian Academy of Sciences, vol. 425, no. 4, pp. 452–455, 2009. View at Google Scholar
  5. E. I. Moiseev, “The basis property for systems of sines and cosines,” Doklady Akademii Nauk SSSR, vol. 275, no. 4, pp. 794–798, 1984. View at Google Scholar
  6. E. I. Moiseev, “On the basis property of a system of sines,” Differentsial'nie Uravnenia, vol. 23, no. 1, pp. 177–179, 1987. View at Google Scholar
  7. G. G. Devdariani, “The basis property of a system of functions,” Differentsial'nie Uravnenia, vol. 22, no. 1, pp. 170–171, 1986. View at Google Scholar · View at Zentralblatt MATH
  8. E. I. Moiseev, “On basicity of system of sines and cosines in weight space,” Differentsial'nie Uravnenia, vol. 34, no. 1, pp. 40–44, 1998. View at Google Scholar
  9. B. T. Bilalov and S. G. Veliev, “Bases from the eigenfunctions of two discountinuous differential operators,” Differentsial'nie Uravnenia, vol. 42, no. 9, pp. 190–192, 2006. View at Publisher · View at Google Scholar