Integral representation of invariant positive-definite matrix kernels

Yu. S. Samoĭlenko1, L. M. Korsunskii1
1Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Ukraine

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Tài liệu tham khảo

R. Stritet and A. S. Whiteman, RST, Spin, Statistics, etc. [Russian translation], Nauka., Moscow (1966).

Yu. M. Berezanskii, Integral representation of positive definite Whiteman functionals, Ukrainsk. Matem. Zh.,19, No. 1 (1967).

K. Maurin, Mathematical Structure of Whiteman Formulation of Quantum Field Theory, Bull. Acad. Polon. Sci., Ser. Sci. Math., Astr. et Phys.,11, 119 (1963).

I. M. Gel'fand and N. Ya. Vilenkii, Generalized Functions. Some Applications of Harmonic Analysis. Equipped Hilbert Spaces [in Russian], No.4, Fizmatgiz, Moscow (1961).

Yu. M. Berezanskii, Expansion of Self-Conjugate Operators in Eigen Functions [in Russian], Naukova Dumka, Kiev (1965).

K. Moren, Methods in Hilbert Space [in Russian], Nauka, Moscow (1965).

N. Ya. Vilenkin, Special Functions and the Theory of Representations of Groups [in Russian], Nauka, Moscow (1965).