Approximation spectral d'un opérateur borné et normal à l'aide de ses fonctions de la densité spectrale

Krzysztof Moszyński

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1983)

  • Volume: 17, Issue: 1, page 93-109
  • ISSN: 0764-583X

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Moszyński, Krzysztof. "Approximation spectral d'un opérateur borné et normal à l'aide de ses fonctions de la densité spectrale." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 17.1 (1983): 93-109. <http://eudml.org/doc/193411>.

@article{Moszyński1983,
author = {Moszyński, Krzysztof},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {approximation of spectral elements; bounded normal operator; Hilbert space; spectral density functions; algorithms; least squares method; convergence; error estimates; continuous spectrum; quadrature formula; positive coefficients},
language = {fre},
number = {1},
pages = {93-109},
publisher = {Dunod},
title = {Approximation spectral d'un opérateur borné et normal à l'aide de ses fonctions de la densité spectrale},
url = {http://eudml.org/doc/193411},
volume = {17},
year = {1983},
}

TY - JOUR
AU - Moszyński, Krzysztof
TI - Approximation spectral d'un opérateur borné et normal à l'aide de ses fonctions de la densité spectrale
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1983
PB - Dunod
VL - 17
IS - 1
SP - 93
EP - 109
LA - fre
KW - approximation of spectral elements; bounded normal operator; Hilbert space; spectral density functions; algorithms; least squares method; convergence; error estimates; continuous spectrum; quadrature formula; positive coefficients
UR - http://eudml.org/doc/193411
ER -

References

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  1. 1. A. K. AzizMathematical foundations of the finite element method. New York, 1972. 
  2. 2. C. L. LAWSON, R. J. HANSON, Solving least squares problems. Prentice-Hall, 1974. Zbl0860.65028MR366019
  3. 3. S. LOJASIEWICZ, Wstep do teorii funkcji rzeczywistych. PWN Warszawa, 1973. Zbl0417.26003MR432826
  4. 4. K. MOSZYNSKJ, On approximation of the spectral density function of a self adjoint operator. To appear in Studia Scientiarum Mathematicarum Hungarica, N° 14, 1979. Zbl0439.47018
  5. 5. K. MOSZYNSKI, Approximation of the spectrum of a bounded, normal operator with the help of its spectral density functions. Preprint N°249. Institute of Mathematics, Polish Academy of Sciences, Warsaw, oct. 1981. Zbl0472.47004
  6. 6. Sz. F. RIESZ, B. NAGY, Leçons d'analyse fonctionnelle. Akademiai Kiado. Budapest, 1952. Zbl0122.11205
  7. 7. T. J. RIVLIN, An introduction to the approximation of functions. Blaisdell Publ., 1969. Zbl0189.06601MR634509
  8. 8. A. SARD, Linear approximation. AMS 1963. Zbl0115.05403MR158203
  9. 9. A. H. STROUD, Approximate calculation of multiple intégrals. Prentice-Hall, 1971. Zbl0379.65013MR327006

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