Diophantine Approximations and Hilbert's Space
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Publication:5840635
DOI10.2307/2371766zbMath0061.24902OpenAlexW2326450277MaRDI QIDQ5840635
Publication date: 1944
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2371766
Related Items (49)
Study of almost everywhere convergence of series by mean of martingale methods ⋮ Divisibility among determinants of power matrices associated with integer-valued arithmetic functions ⋮ Harmonic Analysis of Some Arithmetical Functions ⋮ ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r) ⋮ On the central limit theorem for \(f(n_{k}x)\) ⋮ Divisibility among power matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains ⋮ ``Quasi-norm of an arithmetical convolution operator and the order of the Riemann zeta function ⋮ LU-FACTORIZATIONS OF SYMMETRIC MATRICES WITH APPLICATIONS ⋮ Generalized eigenvalue problems for meet and join matrices on semilattices ⋮ Binomials whose dilations generate $H^2(\mathbb {D})$ ⋮ In a shadow of the RH: cyclic vectors of Hardy spaces on the Hilbert multidisc ⋮ Divisibility among power GCD matrices and among power LCM matrices on finitely many coprime divisor chains ⋮ Some open questions in analysis for Dirichlet series ⋮ A Hardy space analysis of the Báez-Duarte criterion for the RH ⋮ Power dilation systems {𝑓(𝑧^{𝑘})}_{𝑘∈ℕ} in Dirichlet-type spaces ⋮ Spectral asymptotics for a family of LCM matrices ⋮ On a conjecture of Ilmonen, Haukkanen and Merikoski concerning the smallest eigenvalues of certain GCD related matrices ⋮ On a certain arithmetical determinant ⋮ An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann zeta function ⋮ Characterization of the speed of convergence of the trapezoidal rule ⋮ ASYMPTOTIC BEHAVIOR OF LARGEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (MOD r) ⋮ THERE DOES NOT EXIST AN ODD SINGULAR NUMBER OF THE FORM plqr ⋮ Divisibility of matrices associated with multiplicative functions ⋮ A weighted composition semigroup related to three open problems ⋮ On the positive definiteness and eigenvalues of meet and join matrices ⋮ On the eigenvalues of combined meet and join matrices ⋮ On eigenvalues of meet and join matrices associated with incidence functions ⋮ Addendum to: ``A Hilbert space Dirichlet series and systems of dilated functions in \(L_2(0,1)\) ⋮ Divisibility properties of power GCD matrices and power LCM matrices ⋮ The group of squarefree integers ⋮ GCD sums and complete sets of square-free numbers ⋮ A proof of a conjecture on monotonic behavior of the smallest and the largest eigenvalues of a number theoretic matrix ⋮ On unitary analogs of GCD reciprocal LCM matrices ⋮ Divisibility among power GCD matrices and among power LCM matrices on two coprime divisor chains ⋮ Manifestations of the Parseval identity ⋮ ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF RECIPROCAL POWER LCM MATRICES ⋮ Biorthogonal systems on unit interval and zeta dilation operators ⋮ Power GCD Matrices for a UFD ⋮ On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong-Loewy conjecture ⋮ On the divisibility of power LCM matrices by power GCD matrices ⋮ On meet hypermatrices and their eigenvalues ⋮ Characterization of Functions in Terms of Rate of Convergence of a Quadrature Process ⋮ Divisibility among power GCD matrices and among power LCM matrices on three coprime divisor chains ⋮ The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk ⋮ GCD-closed sets and divisibility of Smith matrices ⋮ Divisibility of power LCM matrices by power GCD matrices on gcd-closed sets ⋮ Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets ⋮ On Nonsingular Power LCM Matrices ⋮ Some properties of row-adjusted meet and join matrices
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