On meromorphic equivalence of linear difference operators
Copyright policy )On meromorphic equivalence of linear difference operators
We consider linear difference equations whose coefficients are meromorphic at ∞ . We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.
- University of Groningen Netherlands
linear difference equations, linear difference operator, Riemann- Hilbert problem, RIEMANN-HILBERT PROBLEM, FORMAL EQUIVALENCE, meromorphic equivalence, LINEAR DIFFERENCE OPERATOR, formal equivalence, MEROMORPHIC EQUIVALENCE, Boundary value problems in the complex plane, inverse problem, Difference operators, meromorphic invariants, MEROMORPHIC INVARIANTS, INVERSE PROBLEM
linear difference equations, linear difference operator, Riemann- Hilbert problem, RIEMANN-HILBERT PROBLEM, FORMAL EQUIVALENCE, meromorphic equivalence, LINEAR DIFFERENCE OPERATOR, formal equivalence, MEROMORPHIC EQUIVALENCE, Boundary value problems in the complex plane, inverse problem, Difference operators, meromorphic invariants, MEROMORPHIC INVARIANTS, INVERSE PROBLEM
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