Multilinear singular integral
Multipliers of Laplace transform type for Laguerre and Hermite expansions
We present a new criterion for the weighted boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we recover known results on weighted estimates for Laguerre and Hermite fractional integrals with a unified and simpler approach.
Multivariate smooth interpolation that employs polyharmonic functions
We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example...
Note on summability (L) of Fourier integrals
Notes on integral transformations [Book]
Numerical Computation of the Fourier Transform Using Laguerre Functions and the Fast Fourier Transform.
On a Class of Three Dimensional Radially Symmetric Positive Definite Functions.
On a generalization of Hankel kernel.
On a Hilbert-type transform
On a Multiplier Transform
On a property of the Fourier transform.
On approximation of locally compact groups by finite algebraic systems.
On bilinear Littlewood-Paley square functions.
On the real line, let the Fourier transform of kn be k'n(ξ) = k'(ξ-n) where k'(ξ) is a smooth compactly supported function. Consider the bilinear operators Sn(f, g)(x) = ∫ f(x+y)g(x-y)kn(y) dy. If 2 ≤ p, q ≤ ∞, with 1/p + 1/q = 1/2, I prove thatΣ∞n=-∞ ||Sn(f,g)||22 ≤ C2||f||p2||g||q2.The constant C depends only upon k.
On discrete Fourier spectrum of a harmonic with random frequency modulation
Asymptotic properties of the Discrete Fourier Transform spectrum of a complex monochromatic oscillation with frequency randomly distorted at the observation times t=0,1,..., n-1 by a series of independent and identically distributed fluctuations is investigated. It is proved that the second moments of the spectrum at the discrete Fourier frequencies converge uniformly to zero as n → ∞ for certain frequency fluctuation distributions. The observed effect occurs even for frequency fluctuations with...
On Dualizing a Multivariable Poisson Summation Formula.
On Fourier coefficients and transforms of functions of two variables
On Fourier-Stieltjes transforms integer-valued on a given subset.
On generation and propagation of tsunamis in a shallow running ocean.
On Heisenberg and local uncertainty principles for the -Dunkl transform.
On High Precision Methods for the Evaluation of Fourier Integrals with Finite and Infinite Limits.