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
Carleson, L., and Jacobs, S., Best Uniform Approximation by Analytic Functions, Arkiv för Matematik 10(1972),219–229.
Domar, Y., On the uniqueness of minimal extrapolation, Arkiv för Matematik 4 (1960), 19–29.
Doob, J.L., A minimum problem in the theory of analytic functions, Duke Math. J. 8 (1941), 413–424.
Helson, H., Note on harmonic functions, Proceedings Amer. Math. Soc. 4 (1953), 686–691.
Kahane, J.-P, Projections métriques dans L1(T), C.R.Acad. Sc. Paris, série A, 276 (1973), 621–623.
Kahane, J.-P, Projection métrique de L1(T) sur des sousespaces fermés invariants par translation, in Proceedings of the Conference on Approximation (Oberwolfach 1971), INSM 1972.
Macintyre, A.S., and Rogosinski, W.W., Extremum problems in the theory of analytic functions, Acta Mathematica 82 (1950), 275–325.
Riesz, F., Über Potenzreihen mit vorgeschriebenen Anfangsgliedern, Acta Mathematica 42 (1920), 145–171.
Rogosinski, W.W., and Shapiro, H.S., On certain extremum problems for analytic functions, Acta Mathematica 90 (1953), 287–318.
Singer, I., Best Approximation in normed linear spaces by elements of linear subspaces, Grundlehren der mathematischen Wissenschaften 171 (1970).
Shapiro, H.S., Regularity properties of the element of closest approximation, To appear.
Shapiro, H.S., Extremal problems for polynomials and power series, Dissertation M.I.T. 1952.
Tchebychef, P.L., Oeuvres, tomes I et II, St Petersbourg 1899 et 1907.
Zygmund, A., Trigonometric series, volI, Cambridge.
Zygmund, A., On the preservation of classes of functions, Journal of Math. and Mech. 8 (1959), 889–896.
Editor information
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Kahane, JP. (1974). Heredity in metric projections. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063584
Download citation
DOI: https://doi.org/10.1007/BFb0063584
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06869-3
Online ISBN: 978-3-540-37827-3
eBook Packages: Springer Book Archive