Problèmes d'interpolation dans quelques espaces de fonctions non entières

Alex Méril

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 251-285
  • ISSN: 0037-9484

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Méril, Alex. "Problèmes d'interpolation dans quelques espaces de fonctions non entières." Bulletin de la Société Mathématique de France 111 (1983): 251-285. <http://eudml.org/doc/87441>.

@article{Méril1983,
author = {Méril, Alex},
journal = {Bulletin de la Société Mathématique de France},
keywords = {convolution equation; dual cone; space of holomorphic functions; mean periodic functions; slowly decreasing convolution operator},
language = {fre},
pages = {251-285},
publisher = {Société mathématique de France},
title = {Problèmes d'interpolation dans quelques espaces de fonctions non entières},
url = {http://eudml.org/doc/87441},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Méril, Alex
TI - Problèmes d'interpolation dans quelques espaces de fonctions non entières
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 251
EP - 285
LA - fre
KW - convolution equation; dual cone; space of holomorphic functions; mean periodic functions; slowly decreasing convolution operator
UR - http://eudml.org/doc/87441
ER -

References

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  1. [1] BEREINSTEIN (C. A.) et TAYLOR (B. A.). — A New look at interpolation theory for entire functions of one variable, Advances in Math., vol. 33, 1979, p. 109-143. Zbl0432.30028MR80j:30053
  2. [2] BERENSTEIN (C. A.) et TAYLOR (B. A.). — Interpolation problems in ℂn with application to harmonic analysis, J. Anal. Math., vol. 38, 1980, p. 188-254. Zbl0464.42003MR82h:32002
  3. [3] BERENSTEIN (C. A.) et STRUPPA (D.). — Interpolation problems in cones, Preprint, Univ. Orsay, 1981. 
  4. [4] EHRENPREIS (L.). — Fourier Analysis in several complex variables, Wiley Interscience, New York, 1970. Zbl0195.10401MR44 #3066
  5. [5] GUREVICH (D. I.). — Counterexamples to a problem of L. Schwartz, Funct. Analysis Applic., vol. 9, 1975, p. 116-120. Zbl0326.46020MR52 #11582
  6. [6] HÖRMANDER (L.). — Complex analysis in several variables, North Holland, New York, 1973. Zbl0271.32001
  7. [7] HÖRMANDER (L.). — Generator for some rings of analytic functions, Bull. A.M.S., vol. 73, 1967, p. 943-949. Zbl0172.41701MR37 #1977
  8. [8] KAWAÏ (T.). — On the theory of Fourier hyperfunctions and its application to partial differential equation with constant coefficients, J. Fac. Sc. Univ. Tokyo, Sect. I.A. 17, 1970, p. 463-483. Zbl0212.46101MR45 #7252
  9. [9] KELLEHER (J. J.) et TAYLOR (B. A.). — Finitely generated ideal in rings of analytic functions, Math. Ann., vol. 193, 1971, p. 225-237. Zbl0207.12906MR46 #2077
  10. [10] MARTINEAU (A.). — Équations différentielles d'ordre infini, Bull. Soc. Math. Fr., t. 95, 1967, p. 109-154. Zbl0167.44202
  11. [11] MÉRIL (A.). — Analytic functionals with unbounded carriers and mean periodic functions. Transactions of A.M.S., vol. 278, n° 1, 1983, p. 115-136. Zbl0519.46048MR84i:46050
  12. [12] MORIMOTO (M.). — Analytic functionals with non compact carriers, Tokyo J. Math., vol. 1, n° 1, 1978, p. 77-103. Zbl0384.46027MR80d:46074
  13. [13] PALAMODOV (V.). — Linear differential operator with constant coefficients, Springer Verlag, 1970. Zbl0191.43401MR41 #8793
  14. [14] DE ROEVER (J. W.). — Fourier Transform of holomorphic functions and application to Newton interpolation series II T. W 148, Math. Centrum, Amsterdam. Zbl0308.46041
  15. [15] DE ROEVER (J. W.). — Complex Fourier transform and analytic functionals with unbounded carriers, Math. Centre Tracts 89, Amsterdam, 1978. Zbl0406.46032
  16. [16] SKODA (H.). — Application des techniques L2 à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids, Ann. Ec. Norm. Sup., vol. 5, (4), 1972, p. 545-579. Zbl0254.32017MR48 #11571
  17. [17] STRUPPA (D.). — The fundamental principle for systems of convolutions equations, Memoirs A.M.S., vol. 41, n° 273, 1983. Zbl0503.46027MR85h:46062

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