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References
A. Beurling, On two problems concerning linear transformation in Hilbert space, Acta Math. 81(1949) 239–255.
L. de Branges and J. Rovnyak, Square Summable Power Series, Holt, Rhinehart and Wingston, 1967.
L. de Branges, Square Summable Power Series, Springer Verlag, (To appear).
J. Garnett, Bounded Analytic Functions, Academic Press, 1981.
H. Helson, Lectures on Invariant Subspaces, Academic Press, 1964.
K. Hoffman, Banach Spaces of Analytic Functions, Prentice Hall, 1962.
V. Mandrekar, The validity of Beurling theorems in polydiscs, Proc. Amer. math. Soc. 103 (1988) 145–148.
J. Radlow, Closed ideals in square summable power series. Proc. Amer. Math. Soc. 38(1973) 293–297.
M.Rosenblum and J. Rovnyak, Hardy Classes and Operator theory. Oxford University Press, 1985.
W. Rudin, Function Theory in Polydiscs, Benjamin, 1969.
D. Sarason, Function theory on the unit circle, Virginia Polytech. Inst. and State Univ. Blacksburg, VA, 1979.
D. Sarason, Shift invariant spaces from the Brangesian view point. (Proc. Sympos. on the occasion of the proof of the Bieberbach conjective, 1986) Math. Monogr. Amer. Math. Soc., Providence, RI 1986, pp 153–166.
D. Singh, Brangesian spaces in the polydisck, Proc. Amer. Math. Soc. 110 (1990) 971–977.
M. Slocinskii, On the Wold type decomposition of a pair of commuting isometries. Ann. Polon. math. 37(1980), 255–262.
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Dedicated to the Memory of U.N.Singh
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© 1992 Springer-Verlag
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Yadav, B.S., Singh, D., Agrawal, S. (1992). De branges modules in H2(ℂK) of the torus. In: Yadav, B.S., Singh, D. (eds) Functional Analysis and Operator Theory. Lecture Notes in Mathematics, vol 1511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093797
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DOI: https://doi.org/10.1007/BFb0093797
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