Fourier analysis with respect to bilinear maps |
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| Authors: | O Blasco J M Calabuig |
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| Institution: | (1) Department of Mathematics, Universitat de València, Burjassot, 46100 Valencia, Spain;(2) Department of Applied Mathematics, Universidad Politécnica de Valencia, 46022 Valencia, Spain |
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| Abstract: | Several results about convolution and about Fourier coefficients for X-valued functions defined on the torus satisfying the condition sup‖y‖=1 ∫−π
π
‖ B(f(eiϑ
), y)‖dϑ/2π < ∞ for a bounded bilinear map B: X × Y → Z are presented and some applications are given.
The authors gratefully acknowledges support by Spanish Grants MTM2005-08350-C03-03 and MTN2004-21420 -E. J.M. Calabuig is
also supported by Generalitat Valenciana (Project GV/2007/191) |
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| Keywords: | vector-valued functions Pettis integral Bochner integrals Fourier type |
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