Keywords: Smooth data approximation; Smooth data interpolation; Cubic spline; Tension spline; Fourier series; Fourier transform; 65D05; 65D07; 41A05; 41A10; 41A63; 42A38;
مقالات ISI (ترجمه نشده)
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Keywords: primary; 42A38; 42B10; secondary; 44A35; Fourier transform; Heisenberg uniqueness pairs;
Keywords: 42C40; 42A38; 42C15; 46S10; 44A35; Quaternion algebra; Shearlet transform; Quaternion-valued functions; Uncertainty principles; Quaternionic Fourier transform;
Keywords: Smooth sequences; Extrapolation; Frequency analysis; Forecasting; 42A38; 93E10; 42A99;
Keywords: 68Q30; 42A20; 42A38; 60G15; Martin-Löf randomness; Rademacher series; Fourier series; Brownian motion;
Keywords: 42A16; 42A20; 42A38; Fourier coefficients; Hardy-Littlewood theorem; Pitt's inequality; Hausdorff operators;
Keywords: primary; 28A78; 28A80; secondary; 37A45; 42A38; Absolute continuity; Self-similar measures; Random measures; Convolutions;
Keywords: 65T50; 42A38; Discrete Fourier transform; Sparse Fourier reconstruction; Sublinear sparse FFT;
Keywords: self-similar measures; Fourier transforms; decay rate; normal numbers; 28A80; 42A38; 37A45;
Keywords: primary; 42A38; secondary; 44A35; Bessel function; Convolution; Fourier transform;
Keywords: 65C05; 78M31; 80M31; 42A38; 37M05; Monte Carlo; Dimension reduction; Multi-level; Jump-diffusions; Lamperti-Backward-Euler; Milstein;
Keywords: 26A15; 26A18; 26A27; 42A38; 39B12; Functional equations; Fractal interpolation; Iterated function system; Fractal geometry; Fourier series;
Keywords: 37B10; 42A38; 52C23Inflation rules; Correlations; Renormalisation; Spectra
Keywords: 41A17; 41A80; 42A38; 46E15; 94A20; 26A16; 46E35; 26A33Non-bandlimited functions; Sobolev spaces of fractional order; Modulation spaces; Lipschitz spaces; Riesz derivatives of fractional order; Formulae with remainders; Derivative-free error estimates; Sam
Keywords: 42A38; 45K05; 93C20; Coupled systems; Convolution kernels; Fourier series; Ingham estimates; Reachability;
A probabilistic proof for Fourier inversion formula
Keywords: 42A38; Fourier transform; Gamma distribution; Harmonic analysis; Law of large numbers; Saddle-point approximation; Solid angle;
The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae
Keywords: 41A80; 65D30; 65D32; 42A38; 46E15; 26A16; 46E35; 26A33; Harmonic analysis; Non-bandlimited functions; Fractional order Riesz derivatives; Lipschitz spaces; Numerical integration; Formulae with remainders; Derivative-free error estimates; Shift-invariant s
Quaternionic curvelet transform
Keywords: 42A38; 46S10; 44A15; 44A35; Curvelet transform; Quaternion-valued functions; Convolution; Boehmians;
Explicit Salem sets in R2
Keywords: 11J83; 28A78; 28A80; 42A38; 42B10; Hausdorff dimension; Fourier dimension; Salem sets;
Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation
Keywords: Soliton-like equations; Nonlinear Schrödinger like equations; Fiber optics; Gross-Pitaevskii equation; Similarity transformations and Riccati-Ermakov systems; 81Q05; 35C05; 42A38;
Harmonic analysis associated with the modified Cherednik type operator and quantitative uncertainty principles for its Hartley transform
Keywords: 42A38; 42B10; 43A32; 43A15; Hartley transform; Donoho-Stark's uncertainty principle; Variants of Heisenberg's uncertainty principle;
A note on the norm of an algorithm for reconstruction from Radon data on the ball
Keywords: 42A38; 42B08; 42B15Radon transform; Algorithm; Orthogonal expansion; Gegenbauer polynomial
Fundamental solutions of the fractional diffusion and the fractional Fokker–Planck equations
Keywords: α-Stable distribution; Green function; Similarity variable; Feller operator; Scale invariant method; Fractional diffusion equations26A33; 45K05; 60J60; 60G50; 60G51; 65N06; 80-99; 42A38
On the norm of the OPED algorithm on the ball
Keywords: 42A38; 42B08; 42B15Radon transform; Operator norm; OPED algorithm; Regularity condition
L-Kuramoto-Sivashinsky SPDEs in one-to-three dimensions: L-KS kernel, sharp Hölder regularity, and Swift-Hohenberg law equivalence
Keywords: 35R60; 60H15; 35R11; 35G99; 60H20; 60H30; 42A38; 45H05; 45R05; 60J45; 60J35; 60J60; 60J65; L-Kuramoto-Sivashinsky (S)PDEs; Swift-Hohenberg (S)PDE; Linear and nonlinear fourth order (S)PDEs; L-KS kernel; Imaginary-Brownian-time-Brownian-angle process
Solving partial fractional differential equations using the FAFA-transform
Keywords: 26A33; 42A38; 44A15; 44A35; 45E10FAFA-transform; Fractional derivatives; Fractional diffusion equation; Wright functions; Singular integral equation
Cowling–Price type theorem related to Bessel–Struve transform
Keywords: 42A38; 44A05; 44A20
The unbounded solution of a periodic mixed Sturm–Liouville problem in an infinite strip for the Laplacian
Keywords: 54xx; 42A38; 34B24Mixed Sturm–Liouville problem; Fourier transform; Integral equations
Numerical analysis of a two-parameter fractional telegraph equation
Keywords: 35R11; 42A38; 33E12; 65M06; 47H10Fractional partial differential equation; Fractional telegraph equation; Finite difference method; Stability; Mittag-Leffler function
Biorthogonal radial multiresolution in dimension three
Keywords: 42C40; 43A62; 42A38; Radial multiresolution analysis; Biorthogonal wavelets;
Sobolev orthogonal polynomials defined via gradient on the unit ball
Keywords: 42A38; 42B08; 42B15Sobolev orthogonal polynomials; Several variables; Unit ball
Global existence and causality for a hyperbolic transmission problem with a repulsive nonlinearity
Keywords: 35A05; 35C15; 35E15; 35L70; 35L90; 42A38; Transmission problem; Klein-Gordon equation; Repulsive nonlinearity; Global existence; Energy estimates; Causality;
A family of Sobolev orthogonal polynomials on the unit ball
Keywords: 42A38; 42B08; 42B15Sobolev orthogonal polynomials; Several variables; Unit ball
Integral inequalities for the Hilbert transform applied to a nonlocal transport equation
Keywords: 35Q35; 76B03; 42A38; 35L67Integral inequalities; Hilbert transform; Transport equations
A Cassels-Schmidt theorem for non-homogeneous Markov chains
Keywords: 11K16; 42A38; 60J10; 28A78; 37A45; Normal numbers; Non-homogeneous Markov chains; Fourier-Stieltjes transform; Hausdorff dimension;
Distributional Wiener-Ikehara theorem and twin primes
Keywords: primary 40E05; secondary I IM45; 11N05; 42A38; 44A10; 461720; Distributions; Fourier transform; Laplace transform; Twin primes; Pseudofunctions; Tauberian theory;
Corresponding Banach spaces on time scales
Keywords: 39A10; 39B10; 39A13; 33D45; 42A38; 47B39; 47B36; Banach space; Time scale; Positively regressive; Cylinder transform; Isometry;