Singular values of Fredholm integral operators and p-k-variation
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 321-330
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There have been find upper bound of the singular values of Fredholm integral operator velocity of decrease which depends from continuous modul and p-k-variation of cernel of operator, and permutation in nondecreasing order modul of Fourier and Fourier–Walsh coefficients of function.
@article{JMAG_2000_7_3_a5,
author = {B. D. Kotlyar and Yu. B. Olevskaya},
title = {Singular values of {Fredholm} integral operators and p-k-variation},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {321--330},
year = {2000},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a5/}
}
TY - JOUR AU - B. D. Kotlyar AU - Yu. B. Olevskaya TI - Singular values of Fredholm integral operators and p-k-variation JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2000 SP - 321 EP - 330 VL - 7 IS - 3 UR - http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a5/ LA - ru ID - JMAG_2000_7_3_a5 ER -
B. D. Kotlyar; Yu. B. Olevskaya. Singular values of Fredholm integral operators and p-k-variation. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 321-330. http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a5/