Analytic Extension Formulas and their Applications [electronic resource] /

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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Bibliographic Details
Main Authors: Saitoh, Saburou. editor., Hayashi, Nakao. editor., Yamamoto, Masahiro. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Boston, MA : Springer US : Imprint: Springer, 2001
Subjects:Mathematics., Functions of complex variables., Integral transforms., Operational calculus., Partial differential equations., Potential theory (Mathematics)., Functions of a Complex Variable., Several Complex Variables and Analytic Spaces., Partial Differential Equations., Integral Transforms, Operational Calculus., Potential Theory.,
Online Access:http://dx.doi.org/10.1007/978-1-4757-3298-6
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Description
Summary: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.