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.
References
N. Bari, Sur les systèmes complets de fonctions orthogonales, Mat. Sbornik 14(1944), 51–108.
H. E. Benzinger, Perturbation of bases, the Hausdorff-Young inequality, and eigenfunction expansions, in preparation.
G. D. Birkhoff, A theorem on series of orthogonal functions with an application to Sturm-Liouville series, Proc. Nat. Acad. of Sci. 3 (1917), 656–659.
J. Kazdan, Perturbation of complete orthonormal sets and eigenfunction expansions, Proc. Amer. Math. Soc. 27(1971), 506–510. MR 42 # 6648.
J. L. Walsh, On the convergence of Sturm-Liouville series, Annals of Math., ser. 2, 24(1921), 109–120.
Editor information
Rights and permissions
Copyright information
© 1974 Springer-Verlag
About this paper
Cite this paper
Benzinger, H.E. (1974). An application of the hausdorff-young inequality to eigenfunction expansions. In: Sleeman, B.D., Michael, I.M. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065510
Download citation
DOI: https://doi.org/10.1007/BFb0065510
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06959-1
Online ISBN: 978-3-540-37264-6
eBook Packages: Springer Book Archive