Analytic Extension Formulas and Their Applications

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0792369505

Preface. 1. Extending holomorphic functions from subvarieties; K. Adachi. 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates; K. Amano, et al. 3. Uniqueness in determining damping coefficients in hyperbolic equations; A.L. Bukhgeim, et al. 4. Analytic continuation of Cauchy and exponential transforms; B. Gustafsson, M. Putinar. 5. Analytic function spaces and their applications to nonlinear evolution equations; N. Hayashi. 6. A sampling principle associated with Saitoh's fundamental theory of linear transformations; J.R. Higgins. 7. The enclosure method and its applications; M. Ikehata. 8. On analytic properties of a multiple L-function; H. Ishikawa. 9. Multi-dimensional inverse scattering theory; H. Isozaki. 10. Holomorphic spaces related to orthogonal polynomials and analytic continuation of functions; D. Karp. 11. Extension and division on complex manifolds; T. Ohsawa. 12. Analytic extension formulas, integral transforms and reproducing kernels; S. Saitoh. 13. Analytic continuation beyond the ideal boundary; M. Shiba. 14. Justification of a formal derivation of the Euler-Maclaurin summation formula; M. Sugihara. 15. Extension of Löwner-Heinz inequality via analytic continuation; M. Uchiyama. 16. The Calogero-Moser model, the Calogero model and analytic extension; S. Watanabe.