This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
N.J. Fine—On the Walsh Functions—Transactions of the Amer. Math. Soc., vol. 65 (1949), pp. 372–414.
A. Haar—Zur Theorie der orthogonalen Funktionensysteme—Diss. Göttingen (1909) and Mathem. Annalen., vol. 69 (1910), pp. 331–371.
M. Kac—Sur les fonctions 2nt−[2nt]−1/2—Journal London Math. Soc., vol. 13 (1938), 131–134.
S. Kaczmarz—Über ein Orthogonalsystem—C.R. du premier Congrès des Mathematiciens des pays Slaves, Warsaw, 1929, pp. 189–192.
S. Kaczmarz and H. Steinhaus—Le systeme orthogonal de M. Rademacher—Studia Mathematica, vol. 2 (1930), pp. 231–247.
R.E.A.C. Paley—A remarkable series of orthogonal functions—Proc. London Math. Soc., vol. 34 (1932), pp. 241–279.
H. Rademacher—Einige Sätze über Reihen von allgemeinen Orthogonal—funktionen-Mathem. Annalen, vol. 87 (1922), pp. 112–138.
H. Rademacher—Collected Papers, 2 volumes (edited by E. Grosswald), The MIT Press (G.-C. Rota series editor), Cambridge, Mass., 1974.
J.L. Walsh—A closed set of normal, orthogonal functions—Amer. J. Math., vol. 55 (1923), pp. 5–24.
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Grosswald, E. (1981). An orthonormal system and its Lebesgue constants. In: Knopp, M.I. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096451
Download citation
DOI: https://doi.org/10.1007/BFb0096451
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11173-3
Online ISBN: 978-3-540-38953-8
eBook Packages: Springer Book Archive