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Regularity results for classes of Hilbert C*-modules with respect to special bounded modular functionals
Considering the deeper reasons of the appearance of a remarkable counterexample by Kaad and Skeide (J Operat Theory 89(2):343–348, 2023) we consider...
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BiCG/QMR and Lanczos algorithms
In this chapter we describe Krylov methods using short recurrences, like Lanczos algorithms, BiCG, and QMR which use biorthogonal bases of the Krylov...
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Reconstruction of the Cauchy–Riemann Operator by Complex Integration Operators along Circles
AbstractOne well-known integral condition for a function to be holomorphic is the following classical Morera theorem: if a function
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On Filter Banks in Spline Wavelet Transform on a Nonuniform Grid
AbstractAn explicit representation of filter banks is obtained for constructing wavelet transforms of spaces of linear minimal splines on nonuniform...
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Contact Problems and Their Solution
We give an informal presentation of contact problems, including those that motivated our research, with a brief discussion of the challenges arising...
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Oscillation in a posteriori error estimation
In a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be...
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Construction of Approximation Functionals for Minimal Splines
This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function....
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Bidemocratic Bases and Their Connections with Other Greedy-Type Bases
In nonlinear greedy approximation theory, bidemocratic bases have traditionally played the role of dualizing democratic, greedy, quasi-greedy, or...
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No-Slip and Free-Slip Divergence-Free Wavelets for the Simulation of Incompressible Viscous Flows
This work concerns divergence-free wavelet-based methods for the numerical resolution of Navier–Stokes equations. It generalizes to higher dimension...
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Flexibilities of Wavelets as a Computational Basis Set for Large-Scale Electronic Structure Calculations
The BigDFT project started in 2005 with the aim of testing the advantages of using a Daubechies wavelet basis set for Kohn–Sham density functional...
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Boundary controllability for a coupled system of parabolic equations with singular potentials
This paper deals with the boundary controllability for a coupled system of singular parabolic equations by means of one control force. In particular,...
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Characterization of Schauder basis property of Gabor systems in local fields
Let K be a totally disconnected, locally compact and nondiscrete field of positive characteristic and D be its ring of integers. We characterize the...
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A Jackson-type inequality associated with wavelet bases decomposition
Although wavelet decompositions of functions in Besov spaces have been extensively investigated, those involved with mild decay bases are relatively...
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From Hessian to Weitzenböck: manifolds with torsion-carrying connections
We investigate affine connections that have zero curvature but not necessarily zero torsion. Slightly generalizing from what is known as Weitzenböck...
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Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces
The aim of this paper is to show that almost greedy bases induce tighter embeddings in superreflexive Banach spaces than in general Banach spaces....
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Discrete Wavelet Transforms in Walsh Analysis
A review of discrete wavelet transforms defined through Walsh functions and used for image processing, compression of fractal signals, analysis of...
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Polyelement Functional Equations Related to the Carleman Kernel and Their Applications
AbstractThis review article considers the properties and applications of polyelement functional equations related to the Carleman kernel. Various...
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Boundary controllability for a 1D degenerate parabolic equation with drift, a singular potential, and a Neumann boundary condition
We prove the null controllability of a one-dimensional degenerate parabolic equation with drift and a singular potential. Here, we consider a...
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Unconditional Bases of Reproducing Kernels for Fock Spaces with Nonradial Weights
We prove that the Fock space