Sur les fonctions d'un opérateur pseudo-différentiel elliptique

Guy Patissier

Publications du Département de mathématiques (Lyon) (1977)

  • Volume: 14, Issue: 3, page 21-58
  • ISSN: 0076-1656

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Patissier, Guy. "Sur les fonctions d'un opérateur pseudo-différentiel elliptique." Publications du Département de mathématiques (Lyon) 14.3 (1977): 21-58. <http://eudml.org/doc/273553>.

@article{Patissier1977,
author = {Patissier, Guy},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {manifold; elliptic pseudo-differential operator; spectrum; principal symbol; heat equation},
language = {fre},
number = {3},
pages = {21-58},
publisher = {Université Claude Bernard - Lyon 1},
title = {Sur les fonctions d'un opérateur pseudo-différentiel elliptique},
url = {http://eudml.org/doc/273553},
volume = {14},
year = {1977},
}

TY - JOUR
AU - Patissier, Guy
TI - Sur les fonctions d'un opérateur pseudo-différentiel elliptique
JO - Publications du Département de mathématiques (Lyon)
PY - 1977
PB - Université Claude Bernard - Lyon 1
VL - 14
IS - 3
SP - 21
EP - 58
LA - fre
KW - manifold; elliptic pseudo-differential operator; spectrum; principal symbol; heat equation
UR - http://eudml.org/doc/273553
ER -

References

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  1. [1] W.G. Bade, An operational calculus for operators with spectrum in a strip, Pacific journal of Math., 3, 257-290 (1953). Zbl0050.34303MR55579
  2. [2] T. Burak, Fractional powers of elliptic differential operators, Annali Pisa, 3, 22, 113-132 (1968). Zbl0159.15601MR236767
  3. [3] H. Cartan, L. Schwartz, Séminaire 1963-1964. 
  4. [4] L. Hörmander, Pseudo differential operators and hypoelliptic equations, Amer. Math. Soc., symp. in pure math., 10, (1966). Singular integral operators, 138-183. Zbl0167.09603MR383152
  5. [5] L. Hörmander, The spectral function of an elliptic operator, Acta. math., 121, 193-218 (1968). Zbl0164.13201MR609014
  6. [6] L. Hörmander, Fourier-intégral operators I, Acta math., 127, 79-183, (1971). Zbl0212.46601
  7. [7] T. Kotake - M.S. Narasimhan, Regularity theorems for fractional powers of a linear elliptic operator, Bull. soc. Math. France, 90, 449-471, (1962). Zbl0104.32503MR149329
  8. [8] R.T. Seeley, Complex powers of an elliptic operator, Amer. Math. Soc., Symp. in pure math., 10, (1966). Singular integral operators, 288-307. Zbl0159.15504MR237943
  9. [9] R.T. Selley, Topics in pseudo-differential operators, CIME, (1969), 167-305. MR259335
  10. [10] R.S. Strichartz, A functional calculus for elliptic pseudo-differential operators, Amer. journal of math., XCIV, 711-722, (1972). Zbl0246.35082MR310713
  11. [11] G. Patissier, Sur les fonctions analytiques d'un opérateur elliptique, C.R.A.S., 283, 1976, p. 619. Zbl0378.58008MR431290

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