By Marius van der Put

This e-book lays the algebraic foundations of a Galois thought of linear distinction equations and indicates its courting to the analytic challenge of discovering meromorphic capabilities asymptotic to formal suggestions of distinction equations. Classically, this latter query was once attacked by means of Birkhoff and Tritzinsky and the current paintings corrects and drastically generalizes their contributions. moreover effects are awarded about the inverse challenge in Galois idea, potent computation of Galois teams, algebraic homes of sequences, phenomena in confident features, and q-difference equations. The ebook is geared toward complicated graduate researchers and researchers.

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