Title | Analysis of Divergence [electronic resource] : Control and Management of Divergent Processes / edited by William O. Bray, ฤaslav V. Stanojeviฤ |
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Imprint | Boston, MA : Birkhรคuser Boston, 1999 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2236-1 |
Descript | XX, 568 p. online resource |
Overview -- I Convergence and Summability -- 1 Tauberian theorems for generalized Abelian summability methods -- 2 Series summability of complete biorthogonal sequences -- 3 Growth of Cesร ro 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 Calderรณn-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 Hรถrmander 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 Sโ-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 Hardyโs 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 Surfaces minimizing 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 Norms of powers and a central limit theorem -- 29 Quasiasymptotics at zero and nonlinear problems in a framework of Colombeau generalized functions