| The purpose of this paper is to study inverse spectral problems associated with the Hill's matrix,; a(,1) b(,1) 0 . . . . . .(, ); b(,1) a(,2) b(,2) 0 . . . . 0; 0 b(,2) a(,3) b(,3) 0 . . . 0; L(,(rho)) = . . . . . . . . .; . . . . . . . . .; 0 0 0 . . b(,p-2) a(,p-1) b(,p-1); (rho)b(,p) 0 0 . . 0 b(,p-1) a(,p); The above arises when one investigates the recurrence relations; -b(,n-1)x(,n-1) + ((lamda)-a(,n))x(,n) - b(,n)x(,n+1) = 0; n = 0, (+OR-) 1, (+OR-) 2 . . . . .; where; (DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI); a(,n), b(,n) are periodic, with b(,n) > 0, so that; a(,n) = a(,n') if n (TBOND) n' (mod p)... |
