Analytic Extension Formulas and their Applications

S. Saitoh, N. Hayashi, M. Yamamoto (Herausgeber)

Buch | Hardcover

288 Seiten

2001 | 2001 ed.
Kluwer Academic Publishers (Verlag)
978-0-7923-6950-9 (ISBN)

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Analytic Extension is a property of analytic functions. This title contains papers gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, and several complex variables.

Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few.
Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems.

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.

Erscheint lt. Verlag	31.5.2001
Reihe/Serie	International Society for Analysis, Applications and Computation ; 9
Zusatzinfo	VIII, 288 p.
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-7923-6950-5 / 0792369505
ISBN-13	978-0-7923-6950-9 / 9780792369509
Zustand	Neuware