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2004, University lecture series, ISBN 0821835548, Volume 33, xii, 139
Book
Journal of Functional Analysis, ISSN 0022-1236, 03/2015, Volume 268, Issue 6, pp. 1612 - 1648
By a theorem of Gordon and Hedenmalm, φ generates a bounded composition operator on the Hilbert space H2 of Dirichlet series ∑nbnn−s with square-summable... 
Composition operators | Approximation numbers | Hardy space [formula omitted] | Decay rates | Hardy space H
Journal Article
Mathematische Annalen, ISSN 0025-5831, 12/2018, Volume 372, Issue 3-4, pp. 999 - 1015
We combine our version of the resonance method with certain convolution formulas for and log zeta(s). This leads to a new Omega result for The maximum on the... 
MATHEMATICS | MAXIMUM | Mathematics - Number Theory
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 8/2013, Volume 274, Issue 3, pp. 1327 - 1339
The Dirichlet–Hardy space $${\fancyscript{H}}^2$$ consists of those Dirichlet series $$\sum _n a_n n^{-s}$$ for which $$\sum _n |a_n|^2<\infty $$ . It is shown... 
Mathematics, general | Mathematics | 30B50 | 30C15 | 30H10 | MATHEMATICS | Heterocyclic compounds
Journal Article
2014, 2015, Abel Symposia, ISBN 3319085565, Volume 9, 204
This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are... 
Adaptive control systems | Fourier Analysis | Signal, Image and Speech Processing | Image Processing and Computer Vision | Approximations and Expansions | Mathematics | Dynamical Systems and Ergodic Theory | Partial Differential Equations
eBook
Duke Mathematical Journal, ISSN 0012-7094, 2017, Volume 166, Issue 9, pp. 1685 - 1701
It is shown that the maximum of vertical bar zeta(1/2 + it)vertical bar on the interval T-1/2 <= t <= T is at least exp((1/root 2+o(1) root logT log log log... 
MATHEMATICS | GCD SUMS
Journal Article
Scientific Reports, ISSN 2045-2322, 08/2016, Volume 6, Issue 1, p. 31693
The neuropeptide oxytocin (OT) is associated with a plethora of social behaviors, and is a key topic at the intersection of psychology and biology. However,... 
VASOPRESSIN | EXTRACTION-LIQUID CHROMATOGRAPHY | BEHAVIOR | MULTIDISCIPLINARY SCIENCES | HIGH-EFFICIENCY | BIOANALYSIS | Serum levels | Plasma | Plasma proteins | Oxytocin | Proteomics | Mass spectroscopy | Liquid chromatography | Alkylation | Enzyme-linked immunosorbent assay
Journal Article
Annals of Mathematics, ISSN 0003-486X, 7/2011, Volume 174, Issue 1, pp. 485 - 497
The Bohnenblust-Hille inequality says that the $\ell _{\frac{2m}{m+1}}$ -norm of the coefficients of an m-homogeneous polynomial P on ℂ n is bounded by ∥P∥ ∞... 
Integers | Series convergence | Mathematical theorems | Absolute convergence | Analytic functions | Mathematical constants | Polynomials | Mathematical inequalities | Index sets | MATHEMATICS | VARIABLES | POWER-SERIES THEOREM | DIRICHLET SERIES | HARDY | SPACES
Journal Article
Annales de l'Institut Fourier, ISSN 0373-0956, 2016, Volume 66, Issue 2, pp. 551 - 588
Journal Article
Journal d'Analyse Mathématique, ISSN 0021-7670, 1/2015, Volume 125, Issue 1, pp. 371 - 399
A general method for estimating the approximation numbers of composition operators on the Hardy space H 2, using finite-dimensional model subspaces, is studied... 
Abstract Harmonic Analysis | Mathematics | Functional Analysis | Dynamical Systems and Ergodic Theory | Analysis | Partial Differential Equations | INTERPOLATION | MATHEMATICS | BOUNDED ANALYTIC FUNCTIONS | SPACES | COMPACT COMPOSITION OPERATORS | Operators | Maps | Approximation | Asymptotic properties | Mathematical analysis | Estimating | Decomposition | Boundaries
Journal Article
Collectanea Mathematica, ISSN 0010-0757, 1/2013, Volume 64, Issue 1, pp. 61 - 72
Carleson measures and interpolating and sampling sequences for weighted Bergman spaces on the unit disk are described for weights that are radial and grow... 
Geometry | Algebra | 46E22 | Analysis | 30E05 | Mathematics | Applications of Mathematics | MATHEMATICS | BOUNDED ANALYTIC FUNCTIONS | MATHEMATICS, APPLIED
Journal Article
JOURNAL OF FUNCTIONAL ANALYSIS, ISSN 0022-1236, 03/2015, Volume 268, Issue 6, pp. 1612 - 1648
By a theorem of Gordon and Hedenmalm, phi generates a bounded composition operator on the Hilbert space H-2 of Dirichlet series Sigma(n) b(n)n(-s) with... 
INTERPOLATION | MATHEMATICS | Hardy space H-2 | Approximation numbers | COMPACT COMPOSITION OPERATORS | BOUNDED ANALYTIC FUNCTIONS | Composition operators | HILBERT-SPACE | Decay rates
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 02/2015, Volume 47, Issue 1, pp. 29 - 41
It is proved that ∑k,ℓ=1Ngcd(nk,nℓ)nknℓ≪NexpClogNlogloglogNloglogN holds for arbitrary integers 1⩽n1<⋯ MATHEMATICS | Mathematics - Number Theory
Journal Article
BMJ Open, ISSN 2044-6055, 09/2016, Volume 6, Issue 9, p. e011923
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 1/2013, Volume 23, Issue 1, pp. 170 - 201
Hankel operators with anti-holomorphic symbols are studied for a large class of weighted Fock spaces on ℂ n . The weights defining these Hilbert spaces are... 
32A37 | Fock space | 32A36 | Mathematics | Bergman kernel | Abstract Harmonic Analysis | Fourier Analysis | Convex and Discrete Geometry | 47B35 | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | Hankel operator | MATHEMATICS | SEGAL-BARGMANN SPACE | TOEPLITZ-OPERATORS
Journal Article
Mathematika, ISSN 0025-5793, 2016, Volume 62, Issue 1, pp. 101 - 110
We consider the random functions SN(z):=∑n=1Nz(n), where z(n) is the completely multiplicative random function generated by independent Steinhaus variables... 
11N60 (primary) | 60G50 (secondary) | 42B30 | 32A70 | MATHEMATICS | MATHEMATICS, APPLIED | HANKEL FORMS
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 09/2019, Volume 2019, Issue 754, pp. 179 - 223
For a Dirichlet series symbol , the associated Volterra operator acting on a Dirichlet series is defined by the integral We show that is a bounded operator on... 
MATHEMATICS | H-P | HILBERT-SPACE | THEOREM | INEQUALITY
Journal Article
1996, ISBN 9788200227618, xviii, 142
Book
Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 6, pp. 1517 - 1546
Upper bounds for GCD sums of the form Sigma(N)(k,l=1) (gcd(n(k), n(l)))(2 alpha)/(n(k)n(l))(alpha) are established, where (n(k))1 <= k <= N is any sequence of... 
Poisson integral | Spectral norm | Convergence of series of dilated functions | Polydisc | Carleson-Hunt inequality | GCD sums and matrices | MATHEMATICS | MATHEMATICS, APPLIED | SERIES | spectral norm | THEOREMS | CONVERGENCE | polydisc | convergence of series of dilated functions | CONJECTURE
Journal Article
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