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References
N. Aronszajn, Theory of reproducing kernels, Trans. Amer. Math. Soc. 68(1950), 337–404.
P. Halmos, A Hilbert space problem book, van Norstrand, New York, 1967.
E. Hille, Introduction to the general theory of reproducing kernels, Rocky Mountain J. of Math. 2(1971), 321–368.
E. Hille and R.S. Phillips, Functional analysis and semi-groups, Coll. Pub. Vol. 31, Amer. Math. Soc. Providence R.I, 1957.
P. Masani, Dilations as propagators of Hilbertian varieties, SIAM J of Math. Anal. 9(1978), 414–456.
B. Sz.-Nagy, Positive definite kernels generated by operator-valued analytic functions, Acta Sci. Math. 26(1965), 191–192.
B. Sz.-Nagy and C. Foias, Harmonic analysis of operators on Hilbert space, North Holland, New York, 1970.
G. B. Pedrick, Theory of reproducing kernels in Hilbert spaces of vector-valued functions, Univ. of Kansas Tech. Rep. 19, Lawrence, 1957.
J. Rovnyak, Some Hilbert spaces of analytic functions, Dissertation Yale Univ., 1963.
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Burbea, J., Masani, P. (1980). Hilbert spaces of Hilbert space valued functions. In: Weron, A. (eds) Probability Theory on Vector Spaces II. Lecture Notes in Mathematics, vol 828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097390
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DOI: https://doi.org/10.1007/BFb0097390
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