Gap and Density Theorems

Main
Mathematics - Analysis
Gap and Density Theorems

Gap and Density Theorems

Norman Levinson

0 / 0

0 comments

How much do you like this book?

What’s the quality of the file?

Download the book for quality assessment

What’s the quality of the downloaded files?

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.

Categories:

Mathematics - Analysis

Year:

1940

Publisher:

American Mathematical Soc.

Language:

english

Pages:

256

ISBN 10:

082181026X