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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 ........... 5314. Quasianalytio functions in the sense of Denjoy-Carleman........................... 56References.................................................................................................................... 64List of symbols.............................................................................................................. 66
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 -