Literature Cited
E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. 1, Springer-Verlag (1963).
W. Rudin, “Positive-definite sequences and absolutely monotonic functions,” Duke Math. J.,26, No. 4, 617–622 (1959).
C. S. Herz, “Fonctions operant sur les fonctions definies-positives,” Ann. Inst. Fourier,13, No. 1, 161–180 (1963).
A. G. Konheim and B. Weiss, “Functions which operate on characteristic functions,” Pac. J. Math.,15, No. 4, 1279–1293 (1965).
D. Rider, “Functions which operate on positive definite functions,” Proc. Cambridge Philos. Soc.,69, No. 1, 87–97 (1971).
C. C. Graham and O. C. McGehee, Essays in Commutative Harmonic Analysis, Springer-Verlag, New York-Heidelberg (1979).
C. C. Graham, “Functional calculus and positive-definite functions,” Trans. Am. Math. Soc.,231, No. 1, 215–231 (1977).
M. Kac, “A personal history of Scottish book,” in: The Scottish Book: Mathematics from the Scottish cafe, R. D. Mauldin (ed.), Birkhäuser, Boston-Basel-Stuttgart (1981).
E. A. Gorin and S. T. Norvidas, “Remark in connection with a problem on characteristic function,” in: Abstracts of Reports of the Conference “Methods of Algebra and Analysis,” Tartu (1983), pp. 101–103.
R. Phelps, Lectures on Choquet's Theorems [Russian translation], Mir, Moscow (1968).
H. Heyer, Probability Measures on Locally Compact Groups [Russian translation], Mir, Moscow (1981).
N. Bourbaki, Spectral Theory [Russian translation], Mir, Moscow (1972).
Additional information
M. V. Lomonosov Moscow State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 25, No. 3, pp. 130–146, July–September, 1985.
Rights and permissions
About this article
Cite this article
Norvidas, S. Multidimensional functional calculus on characteristic functions. Lith Math J 25, 260–272 (1985). https://doi.org/10.1007/BF00966745
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00966745