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The functional equation $af\left( {ax} \right) + bf\left( {bx + a} \right) = bf\left( {bx} \right) + af\left( {ax + b} \right)$ extensions and almost periodic solutions
Author(s):
John V.
Ryff
Journal:
Bull. Amer. Math. Soc.
82
(1976),
325-327.
MSC (1970):
Primary 39A15;
Secondary 47D20
MathSciNet review:
0404903
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Additional information
References:
- 1.
- J. V. Ryff, On the representation of doubly stochastic operators, Pacific J. Math. 13 (1963), 1379-1386. MR 29 #474. MR 163171
- 2.
- J. V. Ryff, orbits of L1-functions under doubly stochastic transformations, Trans. Amer. Math. Soc. 117 (1965), 92-100. MR 35 #762. MR 209866
- 3.
- J. V. Ryff, Extreme points of some convex subsets of L1(0, 1), Proc. Amer. Math. Soc. 18 (1967), 1026-1034. MR 36 #675. MR 217586
- 4.
- Y. Sakai and T. Shimogaki, Equimeasurability of functions and doubly stochastic operators, Kōdai Math. Sem. Rep. 24 (1972), 203-211. MR 46 #7945. MR 308831
- 5.
- R. C. Shiflett, Extreme Markoff operators and the orbits of Ryff, Pacific J. Math. 40 (1972), 201-206. MR 46 #2008. MR 302865
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14043-8
PII:
S 0002-9904(1976)14043-8
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