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|a 9783540695745
|9 978-3-540-69574-5
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|a 10.1007/3-540-69573-7
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|a 515.9
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|a Kresin, Gershon.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Sharp Real-Part Theorems
|h [electronic resource] :
|b A Unified Approach /
|c by Gershon Kresin, Vladimir Maz'ya ; edited by T. Shaposhnikova.
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|a 1st ed. 2007.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2007.
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|a XV, 145 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 1903
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|a Estimates for analytic functions bounded with respect to their real part -- Estimates for analytic functions with respect to the Lp-norm of R?f on the circle -- Estimates for analytic functions by the best Lp-approximation of Rf on the circle -- Estimates for directional derivatives of harmonic functions -- Estimates for derivatives of analytic functions -- Bohr's type real part estimates -- Estimates for the increment of derivatives of analytic functions.
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|a This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations.
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|a Functions of complex variables.
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|a Potential theory (Mathematics).
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|a Functions of a Complex Variable.
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|a Potential Theory.
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|a Maz'ya, Vladimir.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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700 |
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|a Shaposhnikova, T.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783540834779
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776 |
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|i Printed edition:
|z 9783540695738
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830 |
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 1903
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|u https://doi.uam.elogim.com/10.1007/3-540-69573-7
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a ZDB-2-LNM
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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