Hardy and Cowling-Price theorems for a Cherednik type operator on the real line
This paper is aimed to establish Hardy and Cowling-Price type theorems for the Fourier transform tied to a generalized Cherednik operator on the real line.
Hardy-type inequalities for Hermite expansions.
Heisenberg uncertainty relation in quantum Liouville equation.
Heisenberg-Pauli-Weyl uncertainty principle for the Riemann-Liouville operator.
Hermite and Laguerre polynomials and matrix-valued stochastic.
Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms.
We extend an uncertainty principle due to Beurling into a characterization of Hermite functions. More precisely, all functions f on Rd which may be written as P(x)exp(-(Ax,x)), with A a real symmetric definite positive matrix, are characterized by integrability conditions on the product f(x)f(y). We then obtain similar results for the windowed Fourier transform (also known, up to elementary changes of functions, as the radar ambiguity function or the Wigner transform). We complete the paper with...
Hermite martingales
Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function
AMS Subject Classification 2010: 11M26, 33C45, 42A38.Necessary and sufficient conditions for absence of zeros of ζ(s) in the half-plane σ ... Expansion of holomorphic functions in series of Hermite polynomials ...
Hermite Series with Polar Singularities
MSC 2010: 33C45, 40G05Series in Hermite polynomials with poles on the boundaries of their regions of convergence are considered.
How sharp is Bernstein's inequality for Jacobi polynomials?
Hypergeometric orthogonal systems of polynomials. I
Hypergeometric orthogonal systems of polynomials. II
Hypergeometric orthogonal systems of polynomials. III