AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Gap and Density Theorems

About this Title

N. Levinson

Publication: Colloquium Publications
Publication Year: 1940; Volume 26
ISBNs: 978-0-8218-1026-2 (print); 978-1-4704-3174-7 (online)
DOI: https://doi.org/10.1090/coll/026
MathSciNet review: MR0003208

View full volume as PDF

Read more about this volume

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and back matter

Chapters

• Chapter 1. On the closure of $\{ e^{i\lambda _nx} \}$, I
• Chapter 2. On the closure of $\{ e^{i\lambda _nx} \}$, II
• Chapter 3. Zeros of entire functions of exponential type
• Chapter 4. On non-harmonic Fourier series
• Chapter 5. Fourier transforms of nonvanishing functions
• Chapter 6. A density theorem of Pólya
• Chapter 7. Determination of the rate of growth of analytic functions from their growth on sequences of points
• Chapter 8. An inequality and functions of zero type
• Chapter 9. Existence of functions of zero type bounded on a sequence of points
• Chapter 10. The general higher indices theorem
• Chapter 11. The general unrestricted Tauberian theorem for larger gaps
• Chapter 12. On restrictions necessary for certain higher indices theorems
• Appendix