A Combined Variant of Prony's Harmonic Expansion
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 4, pp. 443-452
Cet article a éte moissonné depuis la source Math-Net.Ru
The paper deal with a modification of Prony's algorithm. We approximate a discrete function by an exponential-harmonic function.
Keywords:
Prony's method, exponential-harmonic function, approximation.
@article{JSFU_2008_1_4_a8,
author = {Maxim N. Zavyalov and Denis V. Elizarov},
title = {A {Combined} {Variant} of {Prony's} {Harmonic} {Expansion}},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {443--452},
year = {2008},
volume = {1},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JSFU_2008_1_4_a8/}
}
TY - JOUR AU - Maxim N. Zavyalov AU - Denis V. Elizarov TI - A Combined Variant of Prony's Harmonic Expansion JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2008 SP - 443 EP - 452 VL - 1 IS - 4 UR - http://geodesic.mathdoc.fr/item/JSFU_2008_1_4_a8/ LA - ru ID - JSFU_2008_1_4_a8 ER -
Maxim N. Zavyalov; Denis V. Elizarov. A Combined Variant of Prony's Harmonic Expansion. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 1 (2008) no. 4, pp. 443-452. http://geodesic.mathdoc.fr/item/JSFU_2008_1_4_a8/
[1] G. R. B. Prony, “Essai experimental et analytique: sur les lois de la dilatabilite de fluides elastiques et sur celles de la force expansive de la vapeur de l'eau et de la vapeur de l'alkool, a differentes temperatures”, J. L'Ecole Polytechnique, 1:2 (1795), 24–76
[2] S. L. Marpl, ml., Tsifrovoi spektralnyi analiz i ego prilozheniya, Mir, M., 1990
[3] L. S. Maergoiz, Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics, Kluwer acad. Publ., Dordrecht–Boston–London, 2003 | MR | Zbl
[4] L. S. Maergoiz, B. N. Varava, “O metode garmonicheskogo razlozheniya Proni”, Kompleksnyi analiz i differentsialnye operatory, Sb. nauch. tr. Krasnoyars. gos. un-ta, Krasnoyarsk, 1996, 136–144 | MR | Zbl