The Logarithmic Integral

By T. Gamelin. 2001

330 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/22c21e58289f2a9e1804637ad6c9fcfbee198aaf

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In Theoretical Computer Science

Citations in the corpus

Beurling-Malliavin theory for Toeplitz kernels (2007, unknown): “Consider the analytic function u(z) + iũ(z) := z−α(f + if̃)(z), z ∈ C+, where z−α denotes the branch positive on R+. Note that u(x) = g(x), ũ(x) = |x|−αf̃(x) for x ∈ R+, and u(x) = |x|−α [f(x) cosαπ + f̃(x) sinαπ] for x ∈ R−.”
Polya sequences, Toeplitz kernels and gap theorems (2009, methodology): “Conditions like this can be found in many related results, see for instance [7] or [12].”
Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators (2012, background): “For the theory of the Cartwright class we refer to [34, 46].”
Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle (2005, background): “See, e.g., [28], [25].”
A Survey of Weighted Polynomial Approximation with Exponential Weights (2007, background): “A comprehensive treatment of this topic is given in Koosisbook [67].”
ON QUASIANALYTIC LOCAL RINGS (2005, background): “Contemporary proofs of the theorem can be found in many places; see for instance [25, 26, 29, 41] (remark that it is easy to reduce the problem to the case n = 1 treated in all these references).”
Weight Functions in Time-Frequency Analysis (2006, methodology): “analysis that Koosis devoted an entire monograph to it [31], the Beurling-Domar condition was discovered by Domar in [9].”
Determinate multidimensional measures, the extended Carleman theorem and quasi-analytic weights (2001, background): “Weights such as w̃ are classical and figure, for example, in the Bernstein problem [11].”
Weight Functions in Time-Frequency Analysis (2006, methodology): “analysis that Koosis devoted an entire monograph to it [31], the Beurling-Domar condition was discovered by Domar in [9].”