Distributional boundary values and the tempered ultra-distributions

Richard D. Carmichael

Rendiconti del Seminario Matematico della Università di Padova (1976)

  • Volume: 56, page 101-123
  • ISSN: 0041-8994

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Carmichael, Richard D.. "Distributional boundary values and the tempered ultra-distributions." Rendiconti del Seminario Matematico della Università di Padova 56 (1976): 101-123. <http://eudml.org/doc/107603>.

@article{Carmichael1976,
author = {Carmichael, Richard D.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {101-123},
publisher = {Seminario Matematico of the University of Padua},
title = {Distributional boundary values and the tempered ultra-distributions},
url = {http://eudml.org/doc/107603},
volume = {56},
year = {1976},
}

TY - JOUR
AU - Carmichael, Richard D.
TI - Distributional boundary values and the tempered ultra-distributions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1976
PB - Seminario Matematico of the University of Padua
VL - 56
SP - 101
EP - 123
LA - eng
UR - http://eudml.org/doc/107603
ER -

References

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  1. [1] R.D. Carmichael, Distributional boundary values of functions analytic in tubular radial domains, Indiana Univ. Math. J., 20 (1971), pp. 843-853. Zbl0207.12403MR414918
  2. [2] R.D. Carmichael, Distributions of exponential growth and their Fourier transforms, Duke Math. J., 40 (1973), pp. 765-783. Zbl0276.46019MR341074
  3. [3] M. Hasumi, Note on the n-dimensional tempered ultra-distributions, Tôhoku Math. J., 13 (1961), pp. 94-104. Zbl0103.09201MR131759
  4. [4] L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, Berlin, 1963. Zbl0108.09301MR404822
  5. [5] L. Schwartz, Théorie des Distributions, Hermann, Paris, 1966. Zbl0962.46025MR209834
  6. [6] L. Schwartz, Mathematics for the Physical Sciences, Addison-Wesley, Reading, Mass., 1966. Zbl0151.34001MR207494
  7. [7] J. Sebastião E Silva, Les fonctions analytiques comme ultra-distributions dans le calcul opérationnel, Math. Ann., 136 (1958), pp. 58-96. Zbl0195.41302MR105615
  8. [8] J. Sebastião E Silva, Les séries de multipôles des physiciens et la théorie des ultradistributions, Math. Ann., 174 (1967), pp. 109-142. Zbl0152.13102MR217597
  9. [9] V.S. Vladimirov, Methods of the Theory of Functions of Several Complex Variables, M.I.T. Press, Cambridge, Mass., 1966. MR201669
  10. [10] K. Yoshinaga, On spaces distributions of exponential growth, Bull. Kyushu Inst. Tech. Math. Natur. Sci., 6 (1960), pp. 1-16. Zbl0166.39803MR126717
  11. [11] Z. Zieleźny, On the space of convolution operators in K' 1, Studia Math., 31 (1968), pp. 111-124. Zbl0182.45603MR248520

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