Inverses et propriétés spectrales des matrices de Toeplitz à symbole singulier

Jean-Marc Rinkel

Annales de la Faculté des sciences de Toulouse : Mathématiques (2002)

  • Volume: 11, Issue: 1, page 71-103
  • ISSN: 0240-2963

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Rinkel, Jean-Marc. "Inverses et propriétés spectrales des matrices de Toeplitz à symbole singulier." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.1 (2002): 71-103. <http://eudml.org/doc/73574>.

@article{Rinkel2002,
author = {Rinkel, Jean-Marc},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {inverse of Toeplitz operators of finite order; extremal eigenvalues of Toeplitz matrices},
language = {fre},
number = {1},
pages = {71-103},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Inverses et propriétés spectrales des matrices de Toeplitz à symbole singulier},
url = {http://eudml.org/doc/73574},
volume = {11},
year = {2002},
}

TY - JOUR
AU - Rinkel, Jean-Marc
TI - Inverses et propriétés spectrales des matrices de Toeplitz à symbole singulier
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2002
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 1
SP - 71
EP - 103
LA - fre
KW - inverse of Toeplitz operators of finite order; extremal eigenvalues of Toeplitz matrices
UR - http://eudml.org/doc/73574
ER -

References

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  1. [1] Böttcher ( A.) et Silbermann ( B.). — Analysis of Toeplitz operators, Springer Verlag1990. Zbl0732.47029MR1071374
  2. [2] Grenander ( U.) et Szegö ( G.). - Toeplitz forms and their applications, 2nd ed. Chelsea, New York1984. Zbl0611.47018MR890515
  3. [3] Kac ( M.). — Random walk and the theory of Brownian motion, American Mathematical Monthly54, 369-391 (1947). Zbl0031.22604MR21262
  4. [4] Kac ( M.), Murdoch ( W.L.) et Szegö ( G.). - On the eigenvalues of certain hermitian forms, J. Rational Mech. Anal.2, 767-800 (1953). Zbl0051.30302MR59482
  5. [5] Seghier ( A.). — Matrices de Toeplitz dans le cas d-dimensionnel : développement asymptotique à l'ordre d, Thèse d'état Orsay (1988). 
  6. [6] Kateb ( D.) et Seghier ( A.). — Expansion of the inverse of positive definite Toeplitz operators over polytopes, Asymptotic Analysis22, 205-234 (2000). Zbl0974.47020MR1753765
  7. [7] Parter ( S.). — Extreme eigenvalues of Toeplitz forms and applications to elliptic difference equations, Trans. Amer. Math. Soc.99, 153-192 (1961). Zbl0099.32403MR120492
  8. [8] Rambour ( P.), Rinkel ( J.-M.) et Seghier ( A.). - Inverse asymptotique de la matrice de Toeplitz et noyau de Green, C. R. Acad. Sci.Paris331, 857-860 (2000). Zbl0965.15002MR1806422
  9. [9] Rinkel ( J.-M.). — Inverses et propriétés spectrales des matrices de Toeplitz à symbole singulier, Thèse Orsay (2001). 
  10. [10] Seghier ( A.). — Inversion asymptotique des matrices de Toeplitz en d-dimension., J. of Functional Analysis67, 380-412 (1986). Zbl0589.47023MR845464
  11. [11] Serra ( S.). — On the extreme eigenvalues of hermitian Toeplitz matrices, Linear Algebra and its Applications270, 109-129 (1998). Zbl0892.15014MR1484077
  12. [12] Widom ( H.). — On the eigenvalues of certain hermitian operators, Trans. Amer. Math. Soc.88, 491-522 (1958). Zbl0101.09202MR98321
  13. [13] Widom ( H.). — Toeplitz determinant with singular generating function, Amer. J. Math.95, 333-383 (1973). Zbl0275.45006MR331107
  14. [14] Widom ( H.). — Extreme eigenvalues of N-dimensional convolution operators, Trans. Amer. Math. Soc.106, 391-414 (1963). Zbl0205.14603MR145294

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