Translation-invariant function algebras on abelian groups

K. De Leeuw; H. Mirkil

Bulletin de la Société Mathématique de France (1960)

  • Volume: 88, page 345-370
  • ISSN: 0037-9484

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De Leeuw, K., and Mirkil, H.. "Translation-invariant function algebras on abelian groups." Bulletin de la Société Mathématique de France 88 (1960): 345-370. <http://eudml.org/doc/86989>.

@article{DeLeeuw1960,
author = {De Leeuw, K., Mirkil, H.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {functional analysis},
language = {eng},
pages = {345-370},
publisher = {Société mathématique de France},
title = {Translation-invariant function algebras on abelian groups},
url = {http://eudml.org/doc/86989},
volume = {88},
year = {1960},
}

TY - JOUR
AU - De Leeuw, K.
AU - Mirkil, H.
TI - Translation-invariant function algebras on abelian groups
JO - Bulletin de la Société Mathématique de France
PY - 1960
PB - Société mathématique de France
VL - 88
SP - 345
EP - 370
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/86989
ER -

References

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  1. [1] ARENS (Richard) and SINGER (Ivan M.). — Generalized analytic functions, Trans. Amer. math. Soc., t. 81, 1956, p. 379-393. Zbl0078.10902MR17,1226e
  2. [2] BARI (N.K.). — Uniqueness problem of the representation of functions by trigonometric series, Amer. math. Soc. Translation, n° 52. 
  3. [3] HERZ (C.). — The spectral theory of bounded functions (à paraître). Zbl0090.33202
  4. [4] HILLE (Einar) and PHILLIPS (Ralph S.). — Functional analysis and semigroups, Revised edition. — Providence, American mathematical Society, 1957 (Amer. math. Soc. Coll. Publ., 31). Zbl0078.10004
  5. [5] LOOMIS (Lynn H.). — An introduction to abstract harmonic analysis. — New York, Toronto, London, D. Van Nostrand, 1953. Zbl0052.11701
  6. [6] MALLIAVIN (Paul). — Impossibilité de la synthèse spectrale sur les groupes abéliens non compacts, Publ. math. Inst. Hautes Études scient., t. 2, 1959, p. 61-68. Zbl0101.09403
  7. [7] REITER (H. J.). — Contributions to harmonic analysis, Acta Math., t. 96, 1956, p. 253-263. Zbl0081.33701MR19,290c
  8. [8] RUDIN (Walter). — Subalgebras of spaces of continuous functions, Proc. Amer. math. Soc., t. 7, 1956, p. 825-830. Zbl0073.09102MR18,587a
  9. [9] RUDIN (Walter. — Continuous functions on compact spaces without perfect subsets, Proc. Amer. math. Soc., t. 8, 1957, p. 39-42. Zbl0077.31103MR19,46b
  10. [10] SCHWARTZ (Laurent). — Analyse et synthèse harmoniques dans les espacs de distributions, Canadian J. of Math. t. 3, I951, p. 503-512. Zbl0043.33002
  11. [11] TITCHMARSH (E. C.). — The theory of functions, 2nd edition. — Oxford, Oxford University Press, I939. Zbl0005.21004
  12. [12] WRIGHT (Fred B.). — Semigroups in compact groups, Proc. Amer. math. Soc., t. 7, I956, p. 309-311. Zbl0071.25501MR17,1107i
  13. [13] ZYGMUND (Antoni). — Trigonometrical series. — Warszawa, Seminar. Matem. Uniw. Warsz., 1935 (Monografie matematyczne. 5). Zbl0011.01703JFM61.0263.03

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