Gap and Density Theorems
Norman Levinson
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 properties of zeros of analytic functions in one variable.
Catégories:
Année:
1940
Editeur::
American Mathematical Soc.
Langue:
english
Pages:
256
ISBN 10:
082181026X
ISBN 13:
9780821810262
Fichier:
DJVU, 6.06 MB
IPFS:
,
english, 1940