Heisenberg uncertainty principles for some -analogue Fourier transforms.
Heisenberg-Pauli-Weyl uncertainty principle for the Riemann-Liouville operator.
Henkin measures, Riesz products and singular sets
The mutual singularity problem for measures with restrictions on the spectrum is studied. The -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.
Henstock-Kurzweil type integrals in -adic harmonic analysis.
Hereditarily periodic distributions
Hermite and Laguerre wave packet expansions
This paper describes expansions in terms of Hermite and Laguerre functions similar to the Frazier-Jawerth expansion in Fourier analysis. The wave packets occurring in these expansions are finite linear combinations of Hermite and Laguerre functions. The Shannon sampling formula played an important role in the derivation of the Frazier-Jawerth expansion. In this paper we use the Christoffel-Darboux formula for orthogonal polynomials instead. We obtain estimates on the decay of the Hermite and Laguerre...
Hermite expansions on R2n for radial functions.
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 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 ...
Hessian determinants as elements of dual Sobolev spaces
In this short note we present new integral formulas for the Hessian determinant. We use them for new definitions of Hessian under minimal regularity assumptions. The Hessian becomes a continuous linear functional on a Sobolev space.
Higher integrability for maximal oscillatory Fourier integrals.
Higher Integrability Results.
Higher integrability with weights.
Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.
High-Order Ortonomal Scaling Functions and Wavelets Give Poor Time-Frequency Localization.
Hilbert Spaces of Distributions Having an Orthogonal Basis of Exponentials.
Hilbert transform, Toeplitz operators and Hankel operators and invariant A∞ weights.
In this paper, several sufficient conditions for boundedness of the Hilbert transform between two weighted Lp-spaces are obtained. Invariant A∞ weights are obtained. Several characterizations of invariant A∞ weights are given. We also obtain some sufficient conditions for products of two Toeplitz operators of Hankel operators to be bounded on the Hardy space of the unit circle using Orlicz spaces and Lorentz spaces.
Hilbert transforms and maximal functions along rough flat curves.
Hilbert transforms associated with Dunkl-Hermite polynomials.
Hölder quasicontinuity in variable exponent Sobolev spaces.