Lax, Peter D. Translation invariant spaces. (English) Zbl 0085.09102 Acta Math. 101, 163-178 (1959). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 115 Documents Keywords:integral equations, integral transforms × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Beurling, A., On two problems concerning linear transformations in Hilbert space.Acta Math., 81 (1948), 239–255. · Zbl 0033.37701 · doi:10.1007/BF02395019 [2] Boas, R. P.,Entire Functions. Academic Press, New York, 1954. · Zbl 0058.30201 [3] Dufresnoy, J., Sur le produit de composition de deux fonctions.C. R. Acad. Sci. Paris, 225 (1947), 857–859. · Zbl 0029.03203 [4] Herglotz, G., Über Potenzreihen mit positivem, reellem Teil im Einheitskreis.Ber. Verh. Sächs. Akad. Wiss. Leipzig, 63 (1911), 501–511. · JFM 42.0438.02 [5] Karhunen, K., Über die Struktur stationärer zufälliger Funktionen.Ark. Mat., 1 (1950), 141–160. · Zbl 0038.08603 · doi:10.1007/BF02590624 [6] Koosis, P., Functions mean periodic on a half-line.Comm. Pure Appl. Math., 10 (1957), 133–149. · Zbl 0077.10302 · doi:10.1002/cpa.3160100106 [7] –, Interior compact spaces of functions on a half-line.Comm. Pure Appl. Math., 10 (1957), 583–615. · Zbl 0080.31801 · doi:10.1002/cpa.3160100408 [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. · Zbl 0077.31501 · doi:10.1002/cpa.3160100305 [9] –, Remarks on the preceding paper.Comm. Pure Appl. Math., 10 (1957), 617–622. · Zbl 0080.31802 · doi:10.1002/cpa.3160100409 [10] Müntz, Ch., Über den Approximationssatz von Weierstrass.H. A. Festschrift, Berlin, 1914. · JFM 45.0633.02 [11] Nevanlinna, R.,Eindeutige analytische Funktionen, 2nd Edit. Springer, Berlin, 1953. [12] Nyman, B.,On the one-dimensional translation group and semigroup in certain function spaces. Thesis, Uppsala, 1950. · Zbl 0037.35401 [13] Paley, R. E. A. C. &Wiener, N.,Fourier Transforms in the Complex Domain. A.M.S. Colloquium Publications, New York, 1934. · Zbl 0011.01601 [14] Riesz, F. &Sz.-Nagy, B.,Leçons d’analyse fonctionnelle. Akademiai Kiado, Budapest, 1952. · Zbl 0046.33103 [15] Szász, O., Über die Approximation stetiger Funktionen durch lineare Aggregate von Potenzen.Math. Ann., 77 (1916), 382–396. · JFM 46.0419.03 [16] Titchmarsh, E. C.,Introduction to the Theory of Fourier Integrals. Clarendon Press, Oxford, 1937. · Zbl 0017.40404 [17] Wiener, N., On the factorization of matrices.Comment. Math. Helv., 29 (1955), 97–111. · Zbl 0064.06301 · doi:10.1007/BF02564273 [18] Wiener, N. &Masani, P., The prediction theory of multivariate stochastic processes.Acta Math., 98 (1957), 111–150, 99 (1958), 93–137. · Zbl 0080.13002 · doi:10.1007/BF02404472 [19] Helson, H. &Lowdenslager, D., Prediction theory and Fourier series in several variables.Acta Math., 99 (1958), 165–202. · Zbl 0082.28201 · doi:10.1007/BF02392425 [20] Potapov, V. L., On matrix functions holomorphic and bounded in the unit circle.Doklady Akad. Nauk SSSR, 72 (1950), 849–852. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.