Translation invariant linear operators and generalized functions

Charles W. Swartz

Czechoslovak Mathematical Journal (1975)

  • Volume: 25, Issue: 2, page 202-213
  • ISSN: 0011-4642

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Swartz, Charles W.. "Translation invariant linear operators and generalized functions." Czechoslovak Mathematical Journal 25.2 (1975): 202-213. <http://eudml.org/doc/12856>.

@article{Swartz1975,
author = {Swartz, Charles W.},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {2},
pages = {202-213},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Translation invariant linear operators and generalized functions},
url = {http://eudml.org/doc/12856},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Swartz, Charles W.
TI - Translation invariant linear operators and generalized functions
JO - Czechoslovak Mathematical Journal
PY - 1975
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 2
SP - 202
EP - 213
LA - eng
UR - http://eudml.org/doc/12856
ER -

References

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  1. E. J. Beltram, M. R. Wohlers, Distributions and the Boundary Values of Analytic Functions, Academic Press, New York, 1966. (1966) MR0208362
  2. M. De Wilde, J. Schmets, Sur la structure de certaines distributions, Bull. Royal Society Liege, 59 (1970), 232-239. (1970) Zbl0203.43801MR0273393
  3. W. Donoghue, Distributions and Fourier Transforms, Academic Press, New York, 1969. (1969) Zbl0188.18102
  4. R. E. Edwards, Functional Analysis, Holt, Rinehart and Winston, New York, 1965. (1965) Zbl0182.16101MR0221256
  5. L. Ehrenpreis, Fourier Analysis in Several Complex Variables, Wiley, New York, 1970. (1970) Zbl0195.10401MR0285849
  6. K. Floret, J. Wloka, Einführung in die Theorie der lokalkonvexen Räume, Springer-Verlag, Berlin, 1968. (1968) Zbl0155.45101MR0226355
  7. A. Friedman, Generalized Functions and Partial Differential Equations, Prentice-Hall, Inc. Englewood Cliffs, New Jersey, 1963. (1963) Zbl0116.07002MR0165388
  8. I. M. Gelfand Sind G. E. Shilov, Generalized Functions II, Academic Press, New York 1968. (1968) MR0230128
  9. M. Hasumi, 10.2748/tmj/1178244354, Tohoku Math. Jour., 13 (1961), 94-104. (1961) Zbl0103.09201MR0131759DOI10.2748/tmj/1178244354
  10. L. Hörmander, 10.1007/BF02547187, Acta. Math., 104 (1960), 93-140. (1960) MR0121655DOI10.1007/BF02547187
  11. J. Horváth, Topological Vector Spaces and Distributions, Addison-Wesley, Reading, Mass., 1966. (1966) MR0205028
  12. H. Ogata, K. Yoshinaga, On Convolutions, Jour. Sci. Hiroshima Univ., 22 (1958), 15-24. (1958) Zbl0088.33202MR0107810
  13. J. F. Price, 10.1017/S1446788700007345, J. Australian Math. Soc, 9 (1959), 415-423. (1959) MR0246115DOI10.1017/S1446788700007345
  14. L. Schwartz, Theorie des distributions, Hermann, Paris, 1966. (1966) Zbl0149.09501MR0209834
  15. L. Schwartz, 10.5802/aif.68, Ann. Inst. Fourier, 7 (1957), 1-141. (1957) Zbl0089.09601MR0107812DOI10.5802/aif.68
  16. R. Struble, 10.4153/CMB-1968-008-1, Canad. Math. Bull. 11 (1968), 61 - 64. (1968) Zbl0179.20002MR0233199DOI10.4153/CMB-1968-008-1
  17. C. Swartz, Convolution in K { M p } Spaces, Rocky Mountain Math. Jour. 
  18. С Swartz, Continuous Linear Functionals on Certain K { M p } Spaces, SIAM. J. Math. Anal. 
  19. S. Sznajder, On Some Classes of Distributions, Colloq. Math. 23 (1971), 133-139. (1971) Zbl0223.46039MR0308776
  20. F. Treves, Topological Vector Spaces, Distributions and Kernels, Acad. Press, New York, 1967. (1967) Zbl0171.10402MR0225131
  21. J. Wloka, Grundräume und verallgeminerte Funktionen, Springer-Verlag, Berlin, 1969. (1969) MR0487435
  22. K. Yoshinaga, On Spaces of Distributions of Exponential Growth, Bull. Kyushu Inst. Tech., 6 (1960), 1-16. (1960) Zbl0166.39803MR0126717
  23. Z. Zielezny, On the space of convolution operators in K 1 ' , Studia Math., 31 (1968), 110-124. (1968) MR0248520

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