LAUSR

General Fourier coefficients

Sign Up to like & get
recommendations!
0 Published in 2019 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-019-00911-y

Abstract: It is well known that if $${f \in L_{2}(0,1)}$$f∈L2(0,1) is an arbitrary function ($${{f(x) \nsim 0}, x \in [0,1]}$$f(x)≁0,x∈[0,1]) then its Fourier coefficients with respect to general orthonormal systems (ONS) may belong only to $${\ell_2}$$ℓ2.… read more here.

Keywords: fourier coefficients; general fourier;