Analytic Extension Formulas and their Applications
Published on 31. May 2001
Book
Hardback
VIII, 288 pages
978-0-7923-6950-9 (ISBN)
Description
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.
Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems.
More details
Series
Edition
2001 ed.
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
VIII, 288 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 21 mm
Weight
617 gr
ISBN-13
978-0-7923-6950-9 (9780792369509)
DOI
10.1007/978-1-4757-3298-6
Schweitzer Classification
Other editions
Additional editions
S. Saitoh | N. Hayashi | M. Yamamoto
Analytic Extension Formulas and their Applications
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Content
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.