## Some properties of Baxter operators.(English)Zbl 0146.12501

### Keywords:

functional analysis
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### References:

 [1] F. V. Atkinson, Some aspects of Baxter’s functional equation,J. Math. Anal. and Applications,7 (1963), pp. 1–30. · Zbl 0118.12903 [2] G. Baxter, An analytic problem whose solution follows from a simple algebraic identity,Pacific J. Math.,10 (1960), pp. 731–742. · Zbl 0095.12705 [3] E. Hille andR. S. Phillips,Functional analysis and semi-groups (American Mathematical Society Colloquium Publications, VolumeXXXI, 1957). [4] J. F. C. Kingman, Spitzer’s identity and its use in probability theory,J. London Math. Soc.,37 (1962), pp. 309–316. · Zbl 0122.13705 [5] F. Spitzer, A combinational lemma and its application to probability theory,Trans. Amer. Math. Soc. 82 (1956), pp. 323–339. · Zbl 0071.13003 [6] A. E. Taylor,Introduction to functional analysis (Wiley, 1961). [7] J. L. Walsh,Interpolation and approximation by rational functions in the complex domain (American Mathematical Society Colloquium Publications, Volume XX, 3rd ed. 1960). · Zbl 0106.28104 [8] J. G. Wendel, A brief proof of a theorem of Baxter,Math. Scand.,11 (1962), pp. 107–108. · Zbl 0111.12305
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