Acta Mathematica

, Volume 101, Issue 3–4, pp 163–178 | Cite as

Translation invariant spaces

  • Peter D. Lax


Real Axis Representation Theorem Orthogonal Complement Blaschke Product Convolution Theorem 
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  1. [1].
    Beurling, A., On two problems concerning linear transformations in Hilbert space.Acta Math., 81 (1948), 239–255.CrossRefGoogle Scholar
  2. [2].
    Boas, R. P.,Entire Functions. Academic Press, New York, 1954.zbMATHGoogle Scholar
  3. [3].
    Dufresnoy, J., Sur le produit de composition de deux fonctions.C. R. Acad. Sci. Paris, 225 (1947), 857–859.zbMATHMathSciNetGoogle Scholar
  4. [4].
    Herglotz, G., Über Potenzreihen mit positivem, reellem Teil im Einheitskreis.Ber. Verh. Sächs. Akad. Wiss. Leipzig, 63 (1911), 501–511.Google Scholar
  5. [5].
    Karhunen, K., Über die Struktur stationärer zufälliger Funktionen.Ark. Mat., 1 (1950), 141–160.CrossRefMathSciNetGoogle Scholar
  6. [6].
    Koosis, P., Functions mean periodic on a half-line.Comm. Pure Appl. Math., 10 (1957), 133–149.zbMATHCrossRefMathSciNetGoogle Scholar
  7. [7].
    —, Interior compact spaces of functions on a half-line.Comm. Pure Appl. Math., 10 (1957), 583–615.zbMATHCrossRefMathSciNetGoogle Scholar
  8. [8].
    Lax, P. D., A Phragmen-Lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations.Comm. Pure Appl. Math., 10 (1957), 361–389.zbMATHCrossRefMathSciNetGoogle Scholar
  9. [9].
    —, Remarks on the preceding paper.Comm. Pure Appl. Math., 10 (1957), 617–622.zbMATHCrossRefMathSciNetGoogle Scholar
  10. [10].
    Müntz, Ch., Über den Approximationssatz von Weierstrass.H. A. Festschrift, Berlin, 1914.Google Scholar
  11. [11].
    Nevanlinna, R.,Eindeutige analytische Funktionen, 2nd Edit. Springer, Berlin, 1953.zbMATHGoogle Scholar
  12. [12].
    Nyman, B.,On the one-dimensional translation group and semigroup in certain function spaces. Thesis, Uppsala, 1950.Google Scholar
  13. [13].
    Paley, R. E. A. C. &Wiener, N.,Fourier Transforms in the Complex Domain. A.M.S. Colloquium Publications, New York, 1934.zbMATHGoogle Scholar
  14. [14].
    Riesz, F. &Sz.-Nagy, B.,Leçons d'analyse fonctionnelle. Akademiai Kiado, Budapest, 1952.zbMATHGoogle Scholar
  15. [15].
    Szász, O., Über die Approximation stetiger Funktionen durch lineare Aggregate von Potenzen.Math. Ann., 77 (1916), 382–396.CrossRefGoogle Scholar
  16. [16].
    Titchmarsh, E. C.,Introduction to the Theory of Fourier Integrals. Clarendon Press, Oxford, 1937.zbMATHGoogle Scholar
  17. [17].
    Wiener, N., On the factorization of matrices.Comment. Math. Helv., 29 (1955), 97–111.zbMATHCrossRefMathSciNetGoogle Scholar
  18. [18].
    Wiener, N. &Masani, P., The prediction theory of multivariate stochastic processes.Acta Math., 98 (1957), 111–150, 99 (1958), 93–137.CrossRefMathSciNetGoogle Scholar
  19. [19].
    Helson, H. &Lowdenslager, D., Prediction theory and Fourier series in several variables.Acta Math., 99 (1958), 165–202.zbMATHCrossRefMathSciNetGoogle Scholar
  20. [20].
    Potapov, V. L., On matrix functions holomorphic and bounded in the unit circle.Doklady Akad. Nauk SSSR, 72 (1950), 849–852.zbMATHMathSciNetGoogle Scholar

Copyright information

© Almqvist & Wiksells Boktryckeri 1959

Authors and Affiliations

  • Peter D. Lax
    • 1
  1. 1.New York UniversityNew YorkUSA

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