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

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

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

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

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

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

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

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

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

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

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

ObjectiveThe aim of this study was to analyse longitudinal data to assess the risk of noise-induced hearing loss (NIHL) in Norwegian railway...

Noise induced hearing loss | Occupational noise exposure | Railway | MEDICINE, GENERAL & INTERNAL | RISK | THRESHOLD LEVELS | Audiometry | Hearing Loss, Noise-Induced - etiology | Risk Assessment | Humans | Middle Aged | Occupational Diseases - etiology | Occupational Exposure | Noise, Occupational | Male | Auditory Threshold | Railroads | Hearing | Norway | Adult | Female | Longitudinal Studies

Noise induced hearing loss | Occupational noise exposure | Railway | MEDICINE, GENERAL & INTERNAL | RISK | THRESHOLD LEVELS | Audiometry | Hearing Loss, Noise-Induced - etiology | Risk Assessment | Humans | Middle Aged | Occupational Diseases - etiology | Occupational Exposure | Noise, Occupational | Male | Auditory Threshold | Railroads | Hearing | Norway | Adult | Female | Longitudinal Studies

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

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

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

MATHEMATICS | H-P | HILBERT-SPACE | THEOREM | INEQUALITY

Journal Article

BMJ Open, ISSN 2044-6055, 10/2014, Volume 4, Issue 10, p. e005529

Objective Railway workers performing maintenance work of trains and tracks could be at risk of developing noise-induced hearing loss, since they are exposed to...

NORD-TRONDELAG | MEDICINE, GENERAL & INTERNAL | OLDER-ADULTS | OCCUPATION | RISK | AUDIOMETRIC NOTCH | NOISE EXPOSURE | Hearing Loss, Noise-Induced - diagnosis | Age Factors | Cross-Sectional Studies | Risk Assessment | Humans | Middle Aged | Male | Auditory Threshold | Case-Control Studies | Occupational Diseases - diagnosis | Railroads | Hearing Loss, Noise-Induced - epidemiology | Noise, Transportation - statistics & numerical data | Norway - epidemiology | Noise, Occupational - statistics & numerical data | Adult | Audiometry, Pure-Tone | Occupational Diseases - epidemiology

NORD-TRONDELAG | MEDICINE, GENERAL & INTERNAL | OLDER-ADULTS | OCCUPATION | RISK | AUDIOMETRIC NOTCH | NOISE EXPOSURE | Hearing Loss, Noise-Induced - diagnosis | Age Factors | Cross-Sectional Studies | Risk Assessment | Humans | Middle Aged | Male | Auditory Threshold | Case-Control Studies | Occupational Diseases - diagnosis | Railroads | Hearing Loss, Noise-Induced - epidemiology | Noise, Transportation - statistics & numerical data | Norway - epidemiology | Noise, Occupational - statistics & numerical data | Adult | Audiometry, Pure-Tone | Occupational Diseases - epidemiology

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

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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