A family of Kučera spaces

Kelly McKennon

Czechoslovak Mathematical Journal (1979)

  • Volume: 29, Issue: 4, page 503-513
  • ISSN: 0011-4642

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McKennon, Kelly. "A family of Kučera spaces." Czechoslovak Mathematical Journal 29.4 (1979): 503-513. <http://eudml.org/doc/13155>.

@article{McKennon1979,
author = {McKennon, Kelly},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kučera spaces; Fourier transform; reflexive Banach algebra; projective limit; space of rapidly decreasing functions; inductive limit; Schwartz space of distributions},
language = {eng},
number = {4},
pages = {503-513},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A family of Kučera spaces},
url = {http://eudml.org/doc/13155},
volume = {29},
year = {1979},
}

TY - JOUR
AU - McKennon, Kelly
TI - A family of Kučera spaces
JO - Czechoslovak Mathematical Journal
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 4
SP - 503
EP - 513
LA - eng
KW - Kučera spaces; Fourier transform; reflexive Banach algebra; projective limit; space of rapidly decreasing functions; inductive limit; Schwartz space of distributions
UR - http://eudml.org/doc/13155
ER -

References

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  1. Hewitt E., Ross K., Abstract Harmonic Analysis, Vol. 1, Berlin: Springer Verlag. 1963. (1963) 
  2. Hewitt E., Ross K., Abstract Harmonic Analysis, Vol. 2, Berlin: Springer Verlag. 1970. (1970) MR0262773
  3. Kučera J., Fourier L 2 -transform of distributions, Czech. Math. J. 19, 143-153 (1969). (1969) MR0240616
  4. Kučera J., On multipliers of temperate distributions, Czech. Math. J. 21, 610-618 (1971). (1971) MR0293391
  5. Kučera J., McKennon K., 10.1512/iumj.1975.24.24061, Indiana Math. J. 24, 773-775 (1975). (1975) MR0358344DOI10.1512/iumj.1975.24.24061
  6. Kučera J., McKennon K., 10.1216/RMJ-1977-7-2-377, Rocky Mountain J. of Math. 7, 377-383 (1977). (1977) MR0440362DOI10.1216/RMJ-1977-7-2-377
  7. Larsen R., An Introduction To The Theory Of Multipliers, Berlin: Springer Verlag. 1971. (1971) Zbl0213.13301MR0435738
  8. McKennon K., Multipliers, positive functional, positive-definite functions, and Fourier-Stieltjes transforms, Memoirs A.M.S., III, 1971. (1971) MR0440299
  9. Schaeffer H., Topological Vector Spaces, New York: MacMillan Company 1966. (1966) MR0193469
  10. Yosida K., Functional Analysis, Berlin: Springer Verlag 1968. (1968) 

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