Functional Equations for Circle Homeomorphisms with Golden Ratio Rotation Number
نویسنده
چکیده
(The analysis leading to these equat ions will be out l ined in Sect ion 2.) Here, a is a n u m b e r and g (x ) a funct ion def ined on some interval ; bo th a and g(x ) are to be de te rmined . W e are going to cons ider only solut ions with (i) a < 1, (ii) g(x ) a strictly decreas ing funct ion of x, a n d (iii) g(0) = 1. The cond i t ion g(0) = 1 is s imply a normal iza t ion ; if ~ (x ) is a solut ion of
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