This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
V.A. Skvortsov, Differentiation with respect to nets and Haar series, Mat. Zametki, 4(1968), 33–44.
V.A. Skvortsov, Haar series with convergent subsequences of partial sums, Dokl. Akad. Nauk SSSR, 183(1968), 784–786; Engl. transl., Sov. Math. Dokl. 9(1968), 1969–1971.
V.A. Skvortsov, A generalisation of Perron's integral, Vest. Mosk. Univ. Ser.I, 24(1969), 48–51.
A. Pacquement, Détermination d'une fonction au moyen de sa dérivée sur un réseau binaire, C.R.Acad.Sci.Paris 284,A(1977), 365–368.
B.S. Thomson, Derivation bases on the real line, I, II, Real Analysis Exchange 8(1982/83), 67–207, 278–442.
K.M.Ostaszewski, Henstock integration in the plane, Memoirs of AMS 67(1986), N353.
S.Saks, Theory of the integral, 2nd English edition, Warsaw 1937.
A. Khintchine, Sur une extension de l'intégrale de M. Denjoy, C. R. Acad. Sci. Paris, 162(1916), 287–291.
V.A. Skvortsov, Calculation of the coefficients of an everwhere convergent Haar series, Mat. Sb., 117(1968), 349–360; Engl. transl., Math. USSS Sb., 4(1968), 317–327.
V.A. Skvortsov, Constructive definition of HD-integral, Moscow Un. Math. Bull. 37(1982) N6, 46–50.
J.-P. Kahane, Une theorie de Denjoy des martingales dyadiques, Prepublication, Paris, 1988.
A.M.Bruckner, Differentiation of real functions, Lecture Notes in Math., v659, 1978.
A.M. Bruckner and Cliff Cordy, Near intersection conditions for path derivative, Real Anal. Exchange 13(1987–88) N1, 16–23.
V.A. Skvortsov, Generalised integrals in the theory of trigonometric, Haar and Walsh series, Real Anal. Exchange, 12(1986–87) N1, 59–62.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Skvortsov, V.A. (1990). Some properties of dyadic primitives. In: Bullen, P.S., Lee, P.Y., Mawhin, J.L., Muldowney, P., Pfeffer, W.F. (eds) New Integrals. Lecture Notes in Mathematics, vol 1419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083107
Download citation
DOI: https://doi.org/10.1007/BFb0083107
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52322-2
Online ISBN: 978-3-540-46955-1
eBook Packages: Springer Book Archive
