Let E be a compact s-sets of R n.The authors define an orthonormal systemΦof functions on E and obtain that,for any f(x)∈L 1(E,H s),the Fourier series of f,with respect toΦ,is equal to f(x)at H s a.e.x∈E.Moreover,...Let E be a compact s-sets of R n.The authors define an orthonormal systemΦof functions on E and obtain that,for any f(x)∈L 1(E,H s),the Fourier series of f,with respect toΦ,is equal to f(x)at H s a.e.x∈E.Moreover,for any f∈L p(E,H s)(p≥1),the partial sums of the Fourier series,with respect toΦ,of f converges to f in L p norm.展开更多
文摘Let E be a compact s-sets of R n.The authors define an orthonormal systemΦof functions on E and obtain that,for any f(x)∈L 1(E,H s),the Fourier series of f,with respect toΦ,is equal to f(x)at H s a.e.x∈E.Moreover,for any f∈L p(E,H s)(p≥1),the partial sums of the Fourier series,with respect toΦ,of f converges to f in L p norm.
