Problème des moments n -dimensionnel ; mesures quasi-spectrales et semi-groupes

Gilles Cassier

Publications du Département de mathématiques (Lyon) (1983)

  • Volume: 1/D, Issue: 1D, page 3-118
  • ISSN: 0076-1656

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Cassier, Gilles. "Problème des moments $\mathrm {n}$-dimensionnel ; mesures quasi-spectrales et semi-groupes." Publications du Département de mathématiques (Lyon) 1/D.1D (1983): 3-118. <http://eudml.org/doc/273421>.

@article{Cassier1983,
author = {Cassier, Gilles},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {moment problem; convex compact set; spectral measure; topological semigroup; holomorphic function},
language = {fre},
number = {1D},
pages = {3-118},
publisher = {Université Claude Bernard - Lyon 1},
title = {Problème des moments $\mathrm \{n\}$-dimensionnel ; mesures quasi-spectrales et semi-groupes},
url = {http://eudml.org/doc/273421},
volume = {1/D},
year = {1983},
}

TY - JOUR
AU - Cassier, Gilles
TI - Problème des moments $\mathrm {n}$-dimensionnel ; mesures quasi-spectrales et semi-groupes
JO - Publications du Département de mathématiques (Lyon)
PY - 1983
PB - Université Claude Bernard - Lyon 1
VL - 1/D
IS - 1D
SP - 3
EP - 118
LA - fre
KW - moment problem; convex compact set; spectral measure; topological semigroup; holomorphic function
UR - http://eudml.org/doc/273421
ER -

References

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  1. [1] N.I. Akhiezer, The classical moment problem, Oliver and Boyd (1961 ; traduction anglaise 1965). Zbl0124.06202
  2. [2] C. Berg et J.P.R. Christensen, Density questions in the classical theory of moments, Ann. Inst. Fourier, 31. 3, (1981), p. 99-114. Zbl0437.42007MR638619
  3. [3] T.S. Chihara, Indeterminate Symmetric Moment Problems, J. of Math. Analysis and Appl., 85, (1982), p. 331-346. Zbl0485.44004MR649179
  4. [4] N. Dunford et J.T.S. Schwartz, Linear operators I et II, Interscience Publishers, New-York, (1957). Zbl0084.10402
  5. [5] F. Hausdorff, Momentenprobleme für ein endliches Intervall, Math. Z., 16, (1923), p. 220-248. Zbl49.0193.01MR1544592JFM49.0193.01
  6. [6] T. Hildebrandt et I.J. Schoenberg, On linear functional operators and the moment problem for a finite interval in one or several dimensions, Ann. of Math., Sér. 2, 34, (1933), p. 317-328. Zbl0006.40204MR1503109
  7. [7] H.J. Landau, The Classical moment problem : Hilbertian proofs, J. Funct. Analysis, 38, (1980), p. 255-272. Zbl0446.44006MR587909
  8. [8] B. Sz Nagy et F. Riesz, Leçons d'Analyse Fonctionnelle, Paris-Budapest, (1955). Zbl0046.33103
  9. [9] R.R. Phelps, Lectures on Choquet's theorem, Van NostrandMathematical studies7, (1966). Zbl0135.36203MR193470
  10. [10] J.A. Shohat et J.D. Tamarkin, The problem of moments, Amer. Math. Soc., Math. Surveys1, (1943). Zbl0112.06902MR8438
  11. [11] M. Stone, Linear transformations in Hilbert space and their applications to analysis, Amer. Math. Soc. Colloq. Publ., vol. 15, (1932). Zbl0005.40003MR1451877
  12. [12] D.V. Widder, The Laplace transform, Princeton, (1946). Zbl0063.08245JFM67.0384.01

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