On a class of orthonormal functions

Einar Hille

Rendiconti del Seminario Matematico della Università di Padova (1956)

  • Volume: 25, page 214-249
  • ISSN: 0041-8994

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Hille, Einar. "On a class of orthonormal functions." Rendiconti del Seminario Matematico della Università di Padova 25 (1956): 214-249. <http://eudml.org/doc/106934>.

@article{Hille1956,
author = {Hille, Einar},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {ordinary differential equations},
language = {eng},
pages = {214-249},
publisher = {Seminario Matematico of the University of Padua},
title = {On a class of orthonormal functions},
url = {http://eudml.org/doc/106934},
volume = {25},
year = {1956},
}

TY - JOUR
AU - Hille, Einar
TI - On a class of orthonormal functions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1956
PB - Seminario Matematico of the University of Padua
VL - 25
SP - 214
EP - 249
LA - eng
KW - ordinary differential equations
UR - http://eudml.org/doc/106934
ER -

References

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  1. [1] R. Courant: Über die Anwendung der Variationsrechnung in der Theorie der Eigenschwingungen und über neue Klassen von Funktionalgleichungen. Acta Mathematica, 49 (1926), 1-68. Zbl52.0512.02MR1555235JFM52.0512.02
  2. [2] A. Erdélyi, W. Magnus, F. Oberhettinger, F. Tricomi: Higher Transcendental Functions, Volume II, McGraw-Hill Co., New York, 1953, xxvii+396 pp. Zbl0051.30303MR58756
  3. [3] W. Feller: The parabolic differential equations and the associated semi-groups of transformation. Annals of Mathematics, (2) 55 (1952), 468-519. Zbl0047.09303MR47886
  4. [4] E. Hille: Non-oscillation theorems. Transactions of the American Mathematical Society, 64 (1948), 234-252. Zbl0031.35402MR27925
  5. [5] E. Hille: The abstract Cauchy problem and Cauchy's problem for parabolic differential equations. Journal d'Analyse Mathématique, 3 (1953-54), 81-196, corrigenda. Zbl0059.08703MR62934
  6. [6] E. Kamk: Differentialgleichungen Lösungen und Lösungsmethoden. Bd. 1. Gewöhnliche Differentialgleichungen. 3. Auflage. Akademisches Verlagsgesellschaft, Leipzig, 1944, XXVI+666 pp. MR21170
  7. [7] R. Nevanlinna: Eindeutige Analystiche Funktionen. 2. Auflage. DieGrundlehren der Mathematischen Wissenschaften in Einzeldarstellungen, Band XLVI. Springer-Verlag. Berlin, Göttingen, Heidelberg, 1953, X+379 pp. Zbl0050.30302MR57330
  8. [8] E.C. Titchmarsh: The theory of functions. Second edition. Oxford University Press, 1939, x+454 pp. Zbl0022.14602MR593142JFM65.0302.01

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