• DOI:10.1007/3-540-30434-7_10
• Corpus ID: 14227257

Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle

@inproceedings{Makarov2005MeromorphicIF,
  title={Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle},
  author={Nikolai G. Makarov and Alexei Poltoratski},
  year={2005}
}

• N. Makarov, A. Poltoratski
• Published 2005
• Mathematics

This paper touches upon several traditional topics of 1D linear complex analysis
including distribution of zeros of entire functions, completeness problem for
complex exponentials and for other families of special functions, some problems
of spectral theory of selfadjoint differential operators. Their common
feature is the close relation to the theory of complex Fourier transform of
compactly supported measures or, more generally, Fourier–Weyl–Titchmarsh
transforms associated with selfadjoint differential operators with compact resolvent.