SPECTRA AND FINE SPECTRA OF THE GENERALIZED UPPER DIFFERENCE OPERATOR WITH TRIPLE REPETITION (D_3)^ab ON THE HAHN SEQUENCE SPACE

The goal of this paper is to obtain the spectra and fi ne spectra of the matrix (D_3)^ab on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matrix, namely, the matrix (D_n)^ab where the non-zero diagonals are the entries of a n-ary repetition sequence.