• [1] E. F. Beckenbach, Generalized convex functions, Bull. Amer. Math. Soc. 43 (1937), no. 6, 363–371. MR 1563543, https://doi.org/10.1090/S0002-9904-1937-06549-9
• [2] E. F. Beckenbach and R. H. Bing, On generalized convex functions, Trans. Amer. Math. Soc. 58 (1945), 220–230. MR 0013169, https://doi.org/10.1090/S0002-9947-1945-0013169-9
• [3] R. Courant and D. Hilbert, Methoden der mathematischen Physik, Berlin, Springer, 1931.
• [4] A. G. Dominguez, Sobre las series de funciones de Hermite, Union Mathematica Argentina vol. 2 (1938) pp. 1-16.
• [5] Einar Hille, Bemerkung zu einer Arbeit des Herrn Müntz, Math. Z. 32 (1930), no. 1, 422–425 (German). MR 1545175, https://doi.org/10.1007/BF01194643
• [6] Walter Rudin, Integral representation of continuous functions, Trans. Amer. Math. Soc. 68 (1950), 278–286. MR 0034916, https://doi.org/10.1090/S0002-9947-1950-0034916-8
• [7] S. Saks, Theory of the integral, 2d ed., Warsaw, 1937.
• [8] G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.
• [9] G. N. Watson, Notes on generating functions of polynomials. II. Hermite polynomials, J. London Math. Soc. vol. 8 (1933) pp. 194-199.
• [10] E. C. Titchmarsh, The theory of functions, Oxford, 1932.
• [11] F. Wolf, Contributions à la théorie des séries trigonométriques generalisées, Publications de la Faculté des Sciences de l'Université Masaryk, no. 130, 1931, pp. 1-34.
• [12] A. Zygmund, Trigonometrical series, Warsaw, 1935.
• [13] A. Zygmund, On trigonometric integrals, Ann. of Math. (2) 48 (1947), 393–440. MR 0021612, https://doi.org/10.2307/1969179

Bibliography

[1]

E. F. Beckenbach, Generalized convex functions, Bull. Amer. Math. Soc. vol. 43 (1937) pp. 363-371. MR 1563543

[2]

E. F. Beckenbach and R. H. Bing, On generalized convex functions, Trans. Amer. Math. Soc. vol. 58 (1945) pp. 220-230. MR 0013169 (7:116c)

[3]

R. Courant and D. Hilbert, Methoden der mathematischen Physik, Berlin, Springer, 1931.

[4]

A. G. Dominguez, Sobre las series de funciones de Hermite, Union Mathematica Argentina vol. 2 (1938) pp. 1-16.

[5]

E. Hille, Bemerkung zu einer Arbeit des Herrn Müntz, Math. Zeit. vol. 32 (1930) pp. 422-425. MR 1545175

[6]

W. Rudin, Integral representation of continuous functions, Trans. Amer. Math. Soc. vol. 68 (1950) pp. 278-286. MR 0034916 (11:663i)

[7]

S. Saks, Theory of the integral, 2d ed., Warsaw, 1937.

[8]

G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939.

[9]

G. N. Watson, Notes on generating functions of polynomials. II. Hermite polynomials, J. London Math. Soc. vol. 8 (1933) pp. 194-199.

[10]

E. C. Titchmarsh, The theory of functions, Oxford, 1932.

[11]

F. Wolf, Contributions à la théorie des séries trigonométriques generalisées, Publications de la Faculté des Sciences de l'Université Masaryk, no. 130, 1931, pp. 1-34.

[12]

A. Zygmund, Trigonometrical series, Warsaw, 1935.

[13]

-, On trigonometric integrals, Ann. of Math. vol. 48 (1947) pp. 393-440. MR 0021612 (9:88b)