Fourier transforms of homogeneous distribution

Carlos Lemoine

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1972)

  • Volume: 26, Issue: 1, page 117-149
  • ISSN: 0391-173X

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Lemoine, Carlos. "Fourier transforms of homogeneous distribution." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 26.1 (1972): 117-149. <http://eudml.org/doc/83580>.

@article{Lemoine1972,
author = {Lemoine, Carlos},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {117-149},
publisher = {Scuola normale superiore},
title = {Fourier transforms of homogeneous distribution},
url = {http://eudml.org/doc/83580},
volume = {26},
year = {1972},
}

TY - JOUR
AU - Lemoine, Carlos
TI - Fourier transforms of homogeneous distribution
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1972
PB - Scuola normale superiore
VL - 26
IS - 1
SP - 117
EP - 149
LA - eng
UR - http://eudml.org/doc/83580
ER -

References

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  1. [1] Bourbaki, N., Fonctions d'une variable réelle, Fasc. 1, Hermann Editeurs, Paris, 1958. MR151354
  2. [2] ibid., Fasc. 2, Hermann Editeurs, Paris, 1961. 
  3. [1] Calderón, A.P., Algebras of Singular Integral Operators, Proceeding of Symposia in Pure Mathematics, vol. 10, 1967, pp, 18-55, Am. Math. Soc. Zbl0182.47402MR394309
  4. [2] Calderón, A.P., Lebesque Spaces of Differentiable Functions and Distributions, Proceeding of Symposia on Pure Mathematics, Vol. 6, 1961, pp. 33-49, Am. Math. Soc. Zbl0195.41103MR143037
  5. [1] Calderón, A.P., and Zymund, A., Algebras of Certain Singular Operators, Amer. J. Math., 78 (1956) 310-320. Zbl0072.11601MR87810
  6. [1] Gel'fand I.M., and Shilov, G.E., Generalized Functions, Vol 1, Academic Press, New York and London, 1964. Zbl0115.33101MR435831
  7. [1] Goldberg, F., Unbounded Linear Operators, McGraw Hill, 1966. Zbl0925.47001
  8. [1] Hörmander, L., Estimates for translation invariant operators in Lp spaces, Acta. Math., 104 (1960) 93-103. Zbl0093.11402MR121655
  9. [1] Horváth, J., Singular integral operators and spherical harmonics, Trans. Amer. Math. Soc., 62 No. 1, (1956) 52-63. Zbl0070.33803MR86937
  10. [2] Horváth, J., Topological Vector Spaces and Distributions, Addison Wesley, 1966. Zbl0143.15101MR205028
  11. [1] Neri, U., Singular integral operators and distributions. Lecture NotesNo. 4, University of Maryland, College Park, Md., U. S. A., (1968). 
  12. [2] Neri, U., Singular Integrals : an introduction. Lecture Notes No. 3, University of Maryland, College Park, Md. (1967). 
  13. [1] Seeley, R.T., Singular integrals on compact manifolds, Amer. J. Math., 81, No. 3, (1959) 658-699. Zbl0109.33001MR110022
  14. [2] Seeley, R.T., Complex Powers of Elliptiv Singular Integral Operators, Proceeding of Simposia, in Pure Mathematics, Vol. 10, 1967, Am. Math. Soc. MR237943
  15. [1] Stein, E., Interpolation of linear operators, Trans. Am. Math. Soc., Vol. 83 (1956) 482-492. Zbl0072.32402MR82586
  16. [1] Zygmund, A., Intégrales Singuliéres, Université de Paris (Orsay) 1965. Zbl0216.15104
  17. [2] Zygmund, A., On a theorem of Marcinkiewiez concerning interpolation of operators, J. Math. Pures App., 35 (1956) 223-248. Zbl0070.33701MR80887

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