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Analytic Extension Formulas and their Applications : International Society for Analysis, Applications and Computation - S. Saitoh

Analytic Extension Formulas and their Applications

International Society for Analysis, Applications and Computation

By: S. Saitoh (Editor), N. Hayashi (Editor), M. Yamamoto (Editor)

Hardcover Published: 31st May 2001
ISBN: 9780792369509
Number Of Pages: 288

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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.

Prefacep. vii
Extending holomorphic functions from subvarietiesp. 1
Representations of analytic functions on typical domains in terms of local values and truncation error estimatesp. 15
Uniqueness in determining damping coefficients in hyperbolic equationsp. 27
Analytic continuation of Cauchy and exponential transformsp. 47
Analytic function spaces and their applications to nonlinear evolution equationsp. 59
A sampling principle associated with Saitoh's fundamental theory of linear transformationsp. 73
The enclosure method and its applicationsp. 87
On analytic properties of a multiple L-functionp. 105
Multi-dimensional inverse scattering theoryp. 123
Holomorphic spaces related to orthogonal polynomials and analytic continuation of functionsp. 169
Extension and division on complex manifoldsp. 189
Analytic extension formulas, integral transforms and reproducing kernelsp. 207
Analytic continuation beyond the ideal boundaryp. 233
Justification of a formal derivation of the Euler-Maclaurin summation formulap. 251
Extension of Lowner-Heinz inequality via analytic continuationp. 263
The Calogero-Moser model, the Calogero model and analytic extensionp. 271
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780792369509
ISBN-10: 0792369505
Series: International Society for Analysis, Applications and Computation
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 288
Published: 31st May 2001
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.32