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math.FA2008
Zero-class admissibility of observation operators
B. Jacob, J. R. Partington, S. Pott
An admissible observation operator is zero-class admissible if the norm of the output map tends to zero as the time tends to zero. Sufficient and necessary conditions for zero-clas…
math.FA2008★ 1 cited
Analytic Mappings Between LB-spaces and Applications in Infinite-Dimensional Lie Theory
Rafael Dahmen
We give a sufficient criterion for complex analyticity of nonlinear maps defined on direct limits of normed spaces. This tool is then used to construct new classes of (real and com…
math.FA2007
Meromorphic continuation of dynamical zeta functions via transfer operators
Joachim Hilgert, Florian Rilke
We describe a general method to prove meromorphic continuation of dynamical zeta functions to the entire complex plane under the condition that the corresponding partition function…