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 ........... 5314. Quasianalytio functions in the sense of Denjoy-Carleman........................... 56References.................................................................................................................... 64List of symbols.............................................................................................................. 66
@book{bwmeta1.element.zamlynska-c3335711-6187-4508-8958-ef18c353c021, author = {W. Ple\'sniak}, title = {Quasianalytic functions in the sense of Bernstein}, series = {GDML\_Books}, publisher = {Instytut Matematyczny Polskiej Akademi Nauk}, address = {Warszawa}, year = {1977}, zbl = {0359.32003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-c3335711-6187-4508-8958-ef18c353c021} }
W. Pleśniak. Quasianalytic functions in the sense of Bernstein. GDML_Books (1977), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-c3335711-6187-4508-8958-ef18c353c021/