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EnglishIt is proved that if a series with respect to the characters of abelian compact zero-dimensional group is convergent everywhere except, possibly, a countable number of points, then the coefficients of this series can be recovered from its sum by generalized Fourier formulas in which a Henstock-Kurzweil type integral is used.
Va, S., & Tulone, F. (2006). On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups. TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, 34, no. 2, 307-320.
| Data di pubblicazione: | 2006 | |
| Titolo: | On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups | |
| Autori: | ||
| Citazione: | Va, S., & Tulone, F. (2006). On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups. TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, 34, no. 2, 307-320. | |
| Rivista: | ||
| Abstract: | It is proved that if a series with respect to the characters of abelian compact zero-dimensional group is convergent everywhere except, possibly, a countable number of points, then the coefficients of this series can be recovered from its sum by generalized Fourier formulas in which a Henstock-Kurzweil type integral is used. | |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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