An explicit inversion formula for finite-section Wiener-Hopf operators
Glen Baxter, Isidore Isaac Hirschman · Bulletin of the American Mathematical Society · 1964
Let T be the real numbers modulo 1 and do the algebra of complex continuous functions /(0) on T which have absolutely convergent Fourier series.For ƒ (0) G ®o we setwhereFor ƒ G fto we defineDEFINITION.Let (% be a Banach algebra of complex continuous functions ƒ(0) on T with norm || -||. a will be said to be of type 2JJ if the following conditions are satisfied :1. a 0 D a, 11/ 11 o^H/ll for all ƒ G a; 2. e 2vike Çz(& for & = 0, ±1, ±2, • • • , and the trigonometric polynomials are dense in Ct ;3. there exists a constant M independent of n such that