Reviews

"The author contributes something essential to all his subjects, obtains very precise results and gives new proofs. Some of his proofs are long, difficult and highly technical, but the details are presented with much care and precision."

-- Mathematical Reviews

Table of Contents

• On the closure of ${ \{e^{{{i\lambda}_n} x}\} }$, I
• On the closure of ${ \{e^{{{i\lambda}_n} x}\} }$, II
• Zeros of entire functions of exponential type
• On non-harmonic Fourier series
• Fourier transforms of nonvanishing functions
• A density theorem of Pólya
• Determination of the rate of growth of analytic functions from their growth on sequences of points
• An inequality and functions of zero type
• existence of functions of zero-type bounded on a sequence of points
• The general higher indices theorem
• The general unrestricted Tauberian theorem for larger gaps
• On restrictions necessary for certain higher indices theorems
• Appendix