Analytic Extension Formulas and their Applications

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S. Saitoh, N. Hayashi, M. Yamamoto
Springer Science & Business Media, Mar 9, 2013 - Mathematics - 288 pages
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.
 

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Contents

Representations of analytic functions on typical domains
15
Uniqueness in determining damping coefficients
26
Analytic continuation of Cauchy and exponential
47
B Gustafsson and M Putinar
57
A sampling principle associated with Saitohs fundamental
73
The enclosure method and its applications
87
On analytic properties of a multiple Lfunction 105
104
H Ishikawa
121
H Isozaki
164
Extension and division on complex manifolds 189
193
Analytic extension formulas integral transforms
207
Analytic continuation beyond the ideal boundary
233
Justification of a formal derivation of the EulerMaclaurin
251
The CalogeroMoser model the Calogero model and analytic
271
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