The Jacobian Conjecture for the space of all the inner functions
Ronen Peretz
TL;DR
This paper proves the Jacobian Conjecture specifically for the space of all inner functions within the unit disc, advancing understanding in complex analysis.
Contribution
It establishes the Jacobian Conjecture for a new class of functions, namely all inner functions in the unit disc, which was previously unverified.
Findings
Jacobian Conjecture proven for inner functions
Extension of conjecture to complex function spaces
New techniques for analyzing inner functions
Abstract
We prove the Jacobian Conjecture for the space of all the inner functions in the unit disc.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Analytic and geometric function theory · Holomorphic and Operator Theory