Über die Konvergenz der (C,1)-Mittel von Fourier-Laguerre-Reihen
Compositio Mathematica, Tome 21 (1969) no. 1, pp. 81-101.
@article{CM_1969__21_1_81_0,
     author = {Ernst, Dieter},
     title = {\"Uber die {Konvergenz} der $(C, 1)${-Mittel} von {Fourier-Laguerre-Reihen}},
     journal = {Compositio Mathematica},
     pages = {81--101},
     publisher = {Wolters-Noordhoff Publishing},
     volume = {21},
     number = {1},
     year = {1969},
     mrnumber = {241894},
     zbl = {0174.36001},
     language = {de},
     url = {http://www.numdam.org/item/CM_1969__21_1_81_0/}
}
TY  - JOUR
AU  - Ernst, Dieter
TI  - Über die Konvergenz der $(C, 1)$-Mittel von Fourier-Laguerre-Reihen
JO  - Compositio Mathematica
PY  - 1969
SP  - 81
EP  - 101
VL  - 21
IS  - 1
PB  - Wolters-Noordhoff Publishing
UR  - http://www.numdam.org/item/CM_1969__21_1_81_0/
LA  - de
ID  - CM_1969__21_1_81_0
ER  - 
%0 Journal Article
%A Ernst, Dieter
%T Über die Konvergenz der $(C, 1)$-Mittel von Fourier-Laguerre-Reihen
%J Compositio Mathematica
%D 1969
%P 81-101
%V 21
%N 1
%I Wolters-Noordhoff Publishing
%U http://www.numdam.org/item/CM_1969__21_1_81_0/
%G de
%F CM_1969__21_1_81_0
Ernst, Dieter. Über die Konvergenz der $(C, 1)$-Mittel von Fourier-Laguerre-Reihen. Compositio Mathematica, Tome 21 (1969) no. 1, pp. 81-101. http://www.numdam.org/item/CM_1969__21_1_81_0/

R. Askey-S. Wainger [1, a] Mean convergence of expansions in Laguerre and Hermite series. Amer. Journ. of Math. 87, 695-708 (1965). | MR | Zbl

R. Askey [1, b] Norm inequalities for some orthogonal series. Bull. Amer. Math. Soc. 72, 808-823 (1966). | MR | Zbl

R.C. Buck [2] Studies in Modern Math. M. H. Stone: A Generalized Weierstraß Approximation Theorem. Prentice-Hall, Inc. 1962. | Zbl

P.L. Butzer [3] Halbgruppen von linearen Operatoren und das Darstellungs- und Umkehr-problem für Laplace-Transformationen. Math. Ann. 134, 154 -166 (1957). | Zbl

R.C. Campbell [4] Généralisation de la formule de Féjèr pour les séries des polynomes usuels. Ann. Sei. Ecole Norm. Sup. (3), 71, 389-491 (1954). | Numdam | Zbl

W.B. Caton-E. Hille [5] Laguerre polynomials and Laplace integrals. Duke Math. J. 12, 217-242 (1945). | MR | Zbl

A.G. Dominguez [6] Condiciones necesarias y suficientes para que una funcion sea una integral de Laplace. Rev. Unión Mat. Argentina 2, 1- 9 (1938).

Erdélyi-Magnus-Oberhettinger-Tricomi [7] Higher Transcendental Functions, Vol. II. McGraw-Hill 1953. | Zbl

E. Kogbetliantz [8, a] Recherches sur la sommabilité des séries d'Hermite. Ann. Sci. Ecole Norm. Sup. (3), 49 137-221 (1932). | JFM | Numdam | MR | Zbl

[8, b] Sur les moyennes arithmétiques des séries-noyaux des développements en series d'Hermite et de Laguerre et sur celles de ces séries-noyaux derivées terme à terme. Journ. Math. and Phys. 15, 37-99 (1935). | JFM | Zbl

G. Szegö [9, a] Orthogonal Polynomials. Amer. Math. Soc. Colloq. Publ. Vol. 23, New York 1959. | Zbl

[9, b] Zur Theorie der Laguerre'schen Polynome I. Math. Zeitschr. 25, 87-115 (1926). | JFM

G.N. Watson [10] A Treatise on the Theory of Bessel-Functions. Cambridge 1962. | JFM