Analytic Extension Formulas and their Applications

1. Extending holomorphic functions from subvarieties.- 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates.- 3. Uniqueness in determining damping coefficients in hyperbolic equations.- 4. Analytic continuation of Cauchy and exponential transforms.- 5. Analytic function spaces and their applications to nonlinear evolution equations.- 6. A sampling principle associated with Saitoh’s fundamental theory of linear transformations.- 7. The enclosure method and its applications.- 8. On analytic properties of a multiple L-function.- 9. Multi-dimensional inverse scattering theory.- 10. Holomorphic spaces related to orthogonal polynomials and analytic continuation of functions.- 11. Extension and division on complex manifolds.- 12. Analytic extension formulas, integral transforms and reproducing kernels.- 13. Analytic continuation beyond the ideal boundary.- 14. Justification of a formal derivation of the Euler-Maclaurin summation formula.- 15. Extension of Löwner-Heinz inequality via analytic continuation.- 16. The Calogero-Moser model, the Calogero model and analytic extension.