Approximation of functions on locally compact abelian groups

作者：Ugulava Duglas^*

来源：Georgian Mathematical Journal, 2012, 19(1): 181-193.

DOI：10.1515/gmj-2011-0052

• Locally compact abelian group
• L-p space
• measures space
• character
• Fourier transform
• entire functions of exponential type
• positive operators
• Fejer operator

Problems of approximation nature are considered for some spaces of real and complex valued functions and also measures defined on a locally compact abelian group. The approximating subspaces are analogs of the spatial entire functions of exponential type. The problem of convergence of a sequence of Fejer type positive operators is studied.

• 出版日期2012