Fourier-Bessel functions of singular continuous measures and their many asymptotics.
Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces.
Fractal multiwavelets related to the Cantor dyadic group.
Fractal Wavelet Dimensions and Time Evolution
Fractals and hidden symmetries in DNA.
Fractional integration and fractional differentiation for Jacobi expansions.
Frame Analysis of Irregular Periodic Sampling of Signals anf Their Derivatives.
Frame characterizations of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and their applications.
Frame functions and completeness of inner product spaces
Frames associated with expansive matrix dilations.
We construct wavelet-type frames associated with the expansive matrix dilation on the Anisotropic Triebel-Lizorkin spaces. We also show the a.e. convergence of the frame expansion which includes multi-wavelet expansion as a special case.
Frames for Fréchet spaces
From Continous to Discrete Weyl-Heisenberg Frames Through Sampling.
From the Original Framer to Present-Day Time-Frequency and Time-Scale Frames.
Function spaces on the snowflake
We consider two types of Besov spaces on the closed snowflake, defined by traces and with the help of the homeomorphic map from the interval [0,3]. We compare these spaces and characterize them in terms of Daubechies wavelets.
Gabor Frames, Unimodularity, and Window Decay.
Gabor meets Littlewood-Paley: Gabor expansions in
It is known that Gabor expansions do not converge unconditionally in and that cannot be characterized in terms of the magnitudes of Gabor coefficients. By using a combination of Littlewood-Paley and Gabor theory, we show that can nevertheless be characterized in terms of Gabor expansions, and that the partial sums of Gabor expansions converge in -norm.
Gaussian quadrature for matrix valued functions on the unit circle.
G-continuous frames and coorbit spaces.
Gegenbauer polynomials and semiseparable matrices.
General Discrepancy Estimates III: The Erdös-Turán-Koksma Inequality for the Haar Function System.