×

Measurable Hermitian positive functions. (English) Zbl 0403.28005


MSC:

28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] A. P. Artemenko, ?Hermitean-positive functions and positive functionals,? Doctoral Dissertation, Odessa State Univ. (1941).
[2] M. G. Krein, ?On representation of functions by Fourier-Stieltjes integrals,? Uch. Zap. Kuibyshevsk. Fed. Uchitel’sk. Inst.,7, 123-147 (1943).
[3] F. Riesz, ?Über Sätze von Stone und Bochner,? Acta. Litt. Sci. Szeged,6 (1934).
[4] M. G. Krein, ?Integral equations on a half-line with kernel depending on the difference of the arguments,? Usp. Mat. Nauk,13, No. 5, 3-124 (1958).
[5] M. G. Krein, ?On the extension problem for Hermitian-positive continuous functions,? Dokl. Akad. Nauk SSSR,26, No. 1, 17-21 (1940).
[6] I. M. Gelfand, D. A. Raikov, and G. E. Shilov, Commutative Normed Rings, Chelsea Publ. (1964).
[7] B. Ya. Levin, ?On a generalization of the Fejer-Riesz theorem,? Dokl. Akad. Nauk SSSR,52, 291-294 (1946). · Zbl 0063.03516
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.