Let A be an appropriate planar domain and let f be a piecewise smooth function on R-2. We discuss the rate of convergence of S(lambda)f(x) = integral(lambdaA) (f) over cap(xi)exp(2piixi (.) x)dxi in terms of the interaction between the geometry of A and the geometry of the singularities of f. The most subtle case is when x belongs to the singular set of f

Brandolini, L., Colzani, L., Iosevich, A., Travaglini, G. (2002). The rate of convergence of Fourier expansions in the plane: a geometric viewpoint. MATHEMATISCHE ZEITSCHRIFT, 242(4), 709-724 [10.1007/s002090100375].

The rate of convergence of Fourier expansions in the plane: a geometric viewpoint

COLZANI, LEONARDO;TRAVAGLINI, GIANCARLO
2002

Abstract

Let A be an appropriate planar domain and let f be a piecewise smooth function on R-2. We discuss the rate of convergence of S(lambda)f(x) = integral(lambdaA) (f) over cap(xi)exp(2piixi (.) x)dxi in terms of the interaction between the geometry of A and the geometry of the singularities of f. The most subtle case is when x belongs to the singular set of f
Articolo in rivista - Articolo scientifico
Convergence of Fourier series
English
2002
242
4
709
724
none
Brandolini, L., Colzani, L., Iosevich, A., Travaglini, G. (2002). The rate of convergence of Fourier expansions in the plane: a geometric viewpoint. MATHEMATISCHE ZEITSCHRIFT, 242(4), 709-724 [10.1007/s002090100375].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/5568
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