Hilbert transformation of Beurling ultradistributions

S. Pilipović

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 1-13
  • ISSN: 0041-8994

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Pilipović, S.. "Hilbert transformation of Beurling ultradistributions." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 1-13. <http://eudml.org/doc/108062>.

@article{Pilipović1987,
author = {Pilipović, S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Beurling ultradistributions; Hilbert transform},
language = {eng},
pages = {1-13},
publisher = {Seminario Matematico of the University of Padua},
title = {Hilbert transformation of Beurling ultradistributions},
url = {http://eudml.org/doc/108062},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Pilipović, S.
TI - Hilbert transformation of Beurling ultradistributions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 1
EP - 13
LA - eng
KW - Beurling ultradistributions; Hilbert transform
UR - http://eudml.org/doc/108062
ER -

References

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  1. [1] K. Floret - J. WLOKA, Einführung in die Theorie der lokalkonvexen Räume, Lect. Not. Math., Berlin, Heidelberg, New York, Springer, 1968. Zbl0155.45101MR226355
  2. [2] H. Komatsu, Ultradistributions. - I: Structure Theorems and a Characterization, J. Fac. Sci. Univ. Tokyo, Sec. IA 20 (1973), pp. 25-105. Zbl0258.46039MR320743
  3. [3] G. Köthe, Topolovical Vector Spaces I, Berlin, Heidelberg, New York, Springer, 1966. 
  4. [4] R. Narasimhan, Analysis on Real and Complex Manifolds, Amsterdam, North-Holland, 1968. Zbl0583.58001MR251745
  5. [5] J.N. Pandey: The Hilbert transform of Schwartz distributions, Proc. Amer. Math. Soc., 89 (1983), pp. 86-90. Zbl0526.46043MR706516
  6. [6] J.N. Pandey - A. Chaudhary, Hilbert transform of generalized functions and applications, Canad. J. Math., 35 (1983), pp. 478-499. Zbl0505.46031MR717135
  7. [7] L. Schwartz, Théorie des distributions, Paris, Hermann, 1966. Zbl0962.46025MR209834
  8. [8] E.C. Titcmarsh, Introduction to the theory of Fourier integrals, Oxford, Oxford University Press, 1967. JFM63.0367.05
  9. [9] V.S. Vladimirov, Generalized Functions in Mathematical Physics, Mo-scow, Mir, 1979. Zbl0515.46034MR564116

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