ON THE CONVERGENCE OF FOURIER–LAPLACE SERIES A. S. Sargsyan
In the present paper we prove the following theorem.For any 0>ε there exists a measurable set 3⊂GS with measure mes4>−Gπε, such that for each 13()( )∈fxLS there is a function 13()( )∈gxLS, coinciding with ()fx on G with the following properties. Its Fourier–Laplace series converges to g(x) in metrics L1(S3) and the inequality holds 1313()1()sup[ , ( , )]312 |||| .
DOI: 10.46991/PYSUA.2009.43.1.003 Physical and Mathematical Sciences, 43(1 (218) 3-7
