Avakumović, Vojislav G. Über die Eigenfunktionen auf geschlossenen Riemannschen Mannigfaltigkeiten. (German) Zbl 0070.32601 Math. Z. 65, 327-344 (1956). Reviewer: K. Maurin Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 66 Documents MSC: 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 58J05 Elliptic equations on manifolds, general theory Keywords:asymptotics of eigenvalues and eigenfunctions; closed Riemannian manifolds; Laplace operator Citations:Zbl 0041.42701; Zbl 0058.08802 PDFBibTeX XMLCite \textit{V. G. Avakumović}, Math. Z. 65, 327--344 (1956; Zbl 0070.32601) Full Text: DOI EuDML References: [1] Avakumović, V. G.: Bemerkung über einen Satz des HerrnT. Carleman. Math. Z.53, 53–58 (1950). · Zbl 0041.18302 [2] Avakumović, V. G.: Über die Eigenfunktionen der Schwingungsgleichung. Publ. Math. Inst. Math. Acad. Serbe Sci.4, 95–96 (1952). · Zbl 0049.35101 [3] Bojanić, R.: Propriétés asymptotiques des solutions des équations différentielles lineaires. Recueil Trav. Acad. Serbe Sci.35, Inst. Math.3, 213–254 (1953). [4] Carleman, T.: Propriétés asymptotiques des fonctions fondamentales des membranes vibrantes. C. R. Skand. Math. Kongress1934, 34–44. · JFM 61.0526.04 [5] Courant-Hilbert: Methoden der Mathematischen Physik, Bd. I. 1931. · Zbl 0001.00501 [6] Heine: Kugelfunktionen. 1878. [7] Goursat: Cours d’Analyse, Bd. III. 1942. [8] Ingham, A. E.: On Wiener’s method in Tauberian theorems. Proc. London Math. Soc.38, 458–480 (1935). · Zbl 0010.35202 [9] Karamata, J.: Über einen Satz vonH. Heilbron undE. Landau. Publ. Math. Univ. Belgrad5, 28–38 (1936). · JFM 62.1171.03 [10] Levitan, B. M.: Über Entwickelungen nach den Eigenfunctions of theLaplaceschen Operators. (Russisch.) Dokl. Akad. Nauk SSSR.90, 133–135 (1953). · Zbl 0050.32202 [11] Minakshisundaram, S., andA. Pleijel: Some properties of eigenfunctions of theLaplace-operator onRiemannian manifolds. Canadian J. Math.1, 242–256 (1949). · Zbl 0041.42701 [12] Minakshisundaram, S.: Zeta-functions on the Sphere. J. Indian Math.13, 41–48 (1949). · Zbl 0033.11605 [13] Vučković, V.: DieStieltjes-Transformation, die mit Geschwindigkeit der Exponentialfunktion unendlich klein wird. Recueil Trav. Acad. Serbe Sci.35, Inst. Math.3, 255–288 (1953). [14] Watson, G. N.: A Treatise on the Theory ofBessel Functions. 1944. · Zbl 0063.08184 [15] Weyl, H.: Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen. Math. Ann.71, 441–471 (1911). · JFM 43.0436.01 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.