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Gap and density theorems
A typical gap theorem of the type discussed in the book deals with a set of exponential functions { \{e^{{{i\lambda}_n} x}\} } on an interval of the real line and explores the conditions under which this set generates the entire L_2 space on this interval. A typical gap theorem deals with functions...
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Lenguaje: | eng |
Publicado: |
American Mathematical Society
1940
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Acceso en línea: | http://cds.cern.ch/record/2264176 |
Sumario: | A typical gap theorem of the type discussed in the book deals with a set of exponential functions { \{e^{{{i\lambda}_n} x}\} } on an interval of the real line and explores the conditions under which this set generates the entire L_2 space on this interval. A typical gap theorem deals with functions f on the real line such that many Fourier coefficients of f vanish. The main goal of this book is to investigate relations between density and gap theorems and to study various cases where these theorems hold. The author also shows that density- and gap-type theorems are related to various propertie |
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