Fourier Series,
The Almost everywhere convergence,
Localization Principle for Spectral Expansions,
Spectral Fucntion of the Laplace operator,
Riesz means,
Expansions of the Distributions,
Harmonic Analysis.
Fourier-Laplace series, the Spectral Theory of differential operators, Pseudo-differential Operators, Wavelet expansions, p-adic Fourier series.
Biography
2016 to Present time: Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, Malaysia
2008 to 2016 Department of Process and Food Engineering, Faculty of Engineering, Universiti Putra Malaysia.
01/06/2008 to 07/11/2008 : Laboratory of "Computational Science and Informatics", Institute for Mathematical Research, Universiti Putra Malaysia, Malaysia.
August 2006 to May 2008 Head of Department of Applied Mathematics, Faculty of Computer Technology and Community, Kyrgyz-Uzbek University, Osh, Kyrgyzstan.
February 2004 to August 2006 Head of Department of Mathematics and Physics, Faculty of Engineering Technology, Osh University of Technology, Kyrgyzstan.
January 1999 to February 2004 Department of Mathematical Physics, Faculty of Computer Technology, National University of Uzbekistan.
Main publications:
Anvarjon Ahmedov, “The principle of general localization on unit sphere”, Journal of Mathematical Analysis and Applications, 356:1 (2009), 310-321
Anvarjon Ahmedov, Abdumalik Rakhimov and Hishamuddin Zainuddin, “On the Spectral Expansions of Distributions Connected with Schrodinger Operator”, Applied Mathematics Letter, 25:6 (2012), 921-924