Quasianalytic functions in the sense of Bernstein

W. Pleśniak

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1977

Abstract

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CONTENTS1. Introduction................................................................................................................ 32. The extremal function.............................................................................................. 83. Some lemmas on polynomials............................................................................. 124. Category theorems in topological groups........................................................... 165. Best approximation in Banach spaces................................................................ 176. Quasianalytic and quasientire functions in the sense of Bernstein............... 217. Uniqueness property of quasianalytic functions................................................ 268. Uniqueness theorems for quasientire functions............................................... 319. Differentiability properties of quasianalytic functions........................................ 3410. Rational approximation to quasianalytic and quasientire functions............ 3911. Some remarks on superposition of quasianalytic functions......................... 4412. A piecing-together problem.................................................................................. 4813. Quasianalytic and quasientire functions in open subsets of R n ........... 5314. Quasianalytio functions in the sense of Denjoy-Carleman........................... 56References.................................................................................................................... 64List of symbols.............................................................................................................. 66

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W. Pleśniak. Quasianalytic functions in the sense of Bernstein. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1977. <http://eudml.org/doc/268357>.

@book{W1977,
abstract = {CONTENTS1. Introduction................................................................................................................ 32. The extremal function.............................................................................................. 83. Some lemmas on polynomials............................................................................. 124. Category theorems in topological groups........................................................... 165. Best approximation in Banach spaces................................................................ 176. Quasianalytic and quasientire functions in the sense of Bernstein............... 217. Uniqueness property of quasianalytic functions................................................ 268. Uniqueness theorems for quasientire functions............................................... 319. Differentiability properties of quasianalytic functions........................................ 3410. Rational approximation to quasianalytic and quasientire functions............ 3911. Some remarks on superposition of quasianalytic functions......................... 4412. A piecing-together problem.................................................................................. 4813. Quasianalytic and quasientire functions in open subsets of $R^n$........... 5314. Quasianalytio functions in the sense of Denjoy-Carleman........................... 56References.................................................................................................................... 64List of symbols.............................................................................................................. 66},
author = {W. Pleśniak},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Quasianalytic functions in the sense of Bernstein},
url = {http://eudml.org/doc/268357},
year = {1977},
}

TY - BOOK
AU - W. Pleśniak
TI - Quasianalytic functions in the sense of Bernstein
PY - 1977
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTS1. Introduction................................................................................................................ 32. The extremal function.............................................................................................. 83. Some lemmas on polynomials............................................................................. 124. Category theorems in topological groups........................................................... 165. Best approximation in Banach spaces................................................................ 176. Quasianalytic and quasientire functions in the sense of Bernstein............... 217. Uniqueness property of quasianalytic functions................................................ 268. Uniqueness theorems for quasientire functions............................................... 319. Differentiability properties of quasianalytic functions........................................ 3410. Rational approximation to quasianalytic and quasientire functions............ 3911. Some remarks on superposition of quasianalytic functions......................... 4412. A piecing-together problem.................................................................................. 4813. Quasianalytic and quasientire functions in open subsets of $R^n$........... 5314. Quasianalytio functions in the sense of Denjoy-Carleman........................... 56References.................................................................................................................... 64List of symbols.............................................................................................................. 66
LA - eng
UR - http://eudml.org/doc/268357
ER -

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