Inverse Fourier transform

Leonede De Michele; Marina Di Natale; Delfina Roux

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 4, page 305-308
  • ISSN: 1120-6330

Abstract

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In this paper a very general method is given in order to reconstruct a periodic function f knowing only an approximation of its Fourier coefficients.

How to cite

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De Michele, Leonede, Di Natale, Marina, and Roux, Delfina. "Inverse Fourier transform." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.4 (1990): 305-308. <http://eudml.org/doc/244270>.

@article{DeMichele1990,
abstract = {In this paper a very general method is given in order to reconstruct a periodic function \( f \) knowing only an approximation of its Fourier coefficients.},
author = {De Michele, Leonede, Di Natale, Marina, Roux, Delfina},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Fourier series; Noisy data; Inversion; Fourier coefficients},
language = {eng},
month = {12},
number = {4},
pages = {305-308},
publisher = {Accademia Nazionale dei Lincei},
title = {Inverse Fourier transform},
url = {http://eudml.org/doc/244270},
volume = {1},
year = {1990},
}

TY - JOUR
AU - De Michele, Leonede
AU - Di Natale, Marina
AU - Roux, Delfina
TI - Inverse Fourier transform
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/12//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 4
SP - 305
EP - 308
AB - In this paper a very general method is given in order to reconstruct a periodic function \( f \) knowing only an approximation of its Fourier coefficients.
LA - eng
KW - Fourier series; Noisy data; Inversion; Fourier coefficients
UR - http://eudml.org/doc/244270
ER -

References

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  1. DEMICHELE, L. - DI NATALE, M. - ROUX, D., Sharp properties of a regularization method for inversion of Fourier series. Proceedings of the Meeting Trends in Functional Analysis and Approximation Theory, Atti Sem. Mat. Fis. Univ. Modena, 1991, to appear. Zbl0777.42003MR1200311
  2. DI NATALE, M. - GOTUSSO, L. - PAVANI, R. - ROUX, D., On the choice of the parameter in a method inversion for of Fourier series. Submitted. Zbl0770.42006
  3. DI NATALE, M. - GOTUSSO, L. - PAVANI, R. - ROUX, D., Uniform approximation by Fourier polynomials with noisy coefficients. Ist. Lomb. Acc. Sci. Lett., 1990, to appear. Zbl0770.42004MR1267855
  4. GOTUSSO, L. - PAVANI, R. - ROUX, D., Numerical results from a regularization method for inversion of Fourier series. Rend. Mat. (7), 10, 1990, to appear. Zbl0755.65141MR1080308
  5. GOTUSSO, L. - ROUX, D., Teoria, analisi numerica e valutazione dei risultati di un metodo per l'inversione delle serie di Fourier. Atti Accad. Sci. Lett. Arti Palermo, to appear. 
  6. TIKHONOV, A. - ARSÉNINE, V., Méthodes de résolution de problèmes mal posés. Edition Mir, Moscou1976. MR455367

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