Title | Analytic Extension Formulas and their Applications [electronic resource] / edited by Saburou Saitoh, Nakao Hayashi, Masahiro Yamamoto |
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Imprint | Boston, MA : Springer US : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3298-6 |
Descript | VIII, 288 p. online resource |
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 Saitohโs 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 Lรถwner-Heinz inequality via analytic continuation -- 16. The Calogero-Moser model, the Calogero model and analytic extension