TY - JOUR A2 - Morales, Claudio H. AU - Ernst, Thomas PY - 2015 DA - 2015/02/23 TI - On Ordinary, Linear -Difference Equations, with Applications to -Sato Theory SP - 824549 VL - 2015 AB - The purpose of this paper is to develop the theory of ordinary, linear q-difference equations, in particular the homogeneous case; we show that there are many similarities to differential equations. In the second part we study the applications to a q-analogue of Sato theory. The q-Schur polynomials act as basis function, similar to q-Appell polynomials. The Ward q-addition plays a crucial role as operation for the function argument in the matrix q-exponential and for the q-Schur polynomials. SN - 2314-5064 UR - https://doi.org/10.1155/2015/824549 DO - 10.1155/2015/824549 JF - Journal of Operators PB - Hindawi Publishing Corporation KW - ER -