Remarks on ergodic theorems

Remarks on ergodic theorems
HTML articles powered by AMS MathViewer

by Einar Hille

Trans. Amer. Math. Soc. 57 (1945), 246-269

DOI: https://doi.org/10.1090/S0002-9947-1945-0012212-0

PDF | Request permission

References

Studier over Cesdro’s Summabilitetsmetode

Théorie des opérations linéaires

Proof of the ergodic theorem

Integration von Funktionen, deren Werte die Elemente eines Vektorraumes sind

On non-integral orders of summability of series and integrals

L. W. Cohen, On the mean ergodic theorem, Ann. of Math. (2) 41 (1940), 505–509. MR 2027, DOI 10.2307/1968732
Nelson Dunford, Spectral theory. I. Convergence to projections, Trans. Amer. Math. Soc. 54 (1943), 185–217. MR 8642, DOI 10.1090/S0002-9947-1943-0008642-1
Nelson Dunford, Spectral theory, Bull. Amer. Math. Soc. 49 (1943), 637–651. MR 8643, DOI 10.1090/S0002-9904-1943-07965-7
Einar Hille, Notes on linear transformations. II. Analyticity of semi-groups, Ann. of Math. (2) 40 (1939), no. 1, 1–47. MR 1503446, DOI 10.2307/1968541
Einar Hille and J. D. Tamarkin, On the theory of linear integral equations, Ann. of Math. (2) 31 (1930), no. 3, 479–528. MR 1502959, DOI 10.2307/1968241

The converse of Abel’s theorem on power series

Proof of the quasi-ergodic hypothesis

Aufgaben und Lehrsätze aus der Analysis

Über einen Satz des Herrn Fatou

Orthogonal polynomials

Norbert Wiener, Tauberian theorems, Ann. of Math. (2) 33 (1932), no. 1, 1–100. MR 1503035, DOI 10.2307/1968102
A. Wiman, Über die Nullstellen der Funktionen $E_\alpha (x)$, Acta Math. 29 (1905), no. 1, 217–234 (German). MR 1555016, DOI 10.1007/BF02403204