Analysis of Divergence

Overview.- I Convergence and Summability.- 1 Tauberian theorems for generalized Abelian summability methods.- 2 Series summability of complete biorthogonal sequences.- 3 Growth of Cesàro means of double Vilenkin-Fourier series of unbounded type.- 4 A substitute for summability in wavelet expansions.- 5 Expansions in series of Legendre functions.- 6 Endpoint convergence of Legendre series.- 7 Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform.- 8 Fourier-Bessel expansions with general boundary conditions.- II Singular Integrals and Multipliers.- 9 Convolution Calderón-Zygmund singular integral operators with rough kernels.- 10 Haar multipliers, paraproducts, and weighted inequalities.- 11 Multipliers and square functions for Hp spaces over Vilenkin groups.- 12 Spectra of pseudo-differential operators in the Hörmander class.- 13 Scaling properties of infinitely flat curves and surfaces.- 14 Some Lp(L?)- and L2(L2)- estimates for oscillatory Fourier transforms.- 15 Optimal spaces for the S'-convolution with the Marcel Riesz kernels and the N-dimensional Hilbert kernel.- III Integral Operators and Functional Analysis.- 16 Asymptotic expansions and linear wavelet packets on certain hypergroups.- 17 Hardy-type inequalities for a new class of integral operators.- 18 Regularly bounded functions and Hardy's inequality.- 19 Extremal problems in generalized Sobolev classes.- 20 On angularly perturbed Laplace equations in the unit ball and their distributional boundary values.- 21 Nonresonant semilinear equations and applications to boundary value problems.- 22 A topological and functional analytic approach to statistical convergence.- IV Asymptotics and Applications.- 23 Optimal control of divergent control systems.- 24 Surfacesminimizing integrals of divergent integrands.- 25 Sparse exponential sums with low sidelobes.- 26 Spline type summability for multivariate sampling.- 27 B-Splines and orthonormal sets in Paley-Wiener space.- 28