Bulletin of the American Mathematical Society

Fourier transforms of the beurling classes $\mathfrak{D}_\omega ,\,\varepsilon '_\omega$

C. A. Berenstein and M. A. Dostal

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 77, Number 6 (1971), 963-967.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183533167

Mathematical Reviews number (MathSciNet)
MR0288572

Zentralblatt MATH identifier
0229.46038

Subjects
Primary: 46F05: Topological linear spaces of test functions, distributions and ultradistributions [See also 46E10, 46E35] 46E10: Topological linear spaces of continuous, differentiable or analytic functions
Secondary: 42A68

Citation

Berenstein, C. A.; Dostal, M. A. Fourier transforms of the beurling classes $\mathfrak{D}_\omega ,\,\varepsilon '_\omega$. Bull. Amer. Math. Soc. 77 (1971), no. 6, 963--967. https://projecteuclid.org/euclid.bams/1183533167


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References

  • 1. C. A. Berenstein and M. A. Dostal, Topological properties of analytically uniform spaces, Trans. Amer. Math. Soc. 154 (1971), 493-513.
  • 2. C. A. Berenstein and M. A. Dostal, Analytically uniform spaces and their applications to convolution equations, Lecture Notes in Math., Springer-Verlag, New York, 1971.
  • 3. C. A. Berenstein and M. A. Dostal, Some remarks on convolution equations (to appear).
  • 4. G. Björck, Linear partial differential operators and generalized distributions, Ark. Mat. 6 (1966), 351-407. MR 34 #3054.
  • 5. M. A. Dostal, A complex characterization of the Schwartz space D(Ω), Math. Ann. (to appear).
  • 6. L. Ehrenpreis, Analytically uniform spaces and some applications, Trans. Amer. Math. Soc. 101 (1961), 52-74. MR 24 #A1604.
  • 7. L. Ehrenpreis, Fourier transforms in several complex variables, Interscience, New York, 1970.
  • 8. W. Slowikowski, Epimorphisms of adjoints to generalized (LF)-spaces, Lecture Notes, Matematisk Inst., Aarhus, 1966.