C C ] 2 8 A ug 2 00 6 L p-computable Functions and Fourier Series

This paper studies the notion of Lebesgue integrable computable functions (denoted L-computable where p is an integer), that naturally extends the classical model of bitcomputable functions. We introduce L-computable Baire categories. We observe that L-computability is incomparable to the recently introduced notion of graph-computable functions. We study… CONTINUE READING