Results 11 to 20 of about 21,084 (200)

The expansion of a semigroup and a Riesz basis criterion

open access: yesJournal of Differential Equations, 2005
Let \(\mathcal{A}\) be the generator for a strongly continuous semigroup \(T(t)\) on a Hilbert space \(X\). Suppose that the singular set for \(\mathcal{A}\) can be split into two parts \(\sigma(\mathcal{A})=\sigma_1(\mathcal{A})\cup\sigma_2(\mathcal{A})\), where \(\sigma_2(\mathcal{A})\) consists all isolated eigenvalues. Under the assumption that the
Xu, GQ, Yung, SP
openaire   +6 more sources

Non-Parametric Regression and Riesz Estimators

open access: yesAxioms, 2023
In this paper, we consider a non-parametric regression model relying on Riesz estimators. This linear regression model is similar to the usual linear regression model since they both rely on projection operators.
Christos Kountzakis   +1 more
doaj   +1 more source

The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions [PDF]

open access: yes, 2013
We consider a regular indefinite Sturm-Liouville eigenvalue problem \{$-f" + q f = \lambda r f$} on $[a,b]$ subject to general self-adjoint boundary conditions and with a weight function $r$ which changes its sign at finitely many, so-called turning ...
Fleige, Andreas   +2 more
core   +3 more sources

A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2018
28 pages, 2 ...
Zhijiang Zhang   +2 more
openaire   +3 more sources

Biframes and some of their properties

open access: yesJournal of Inequalities and Applications, 2022
Recently, frame multipliers, pair frames, and controlled frames have been investigated to improve the numerical efficiency of iterative algorithms for inverting the frame operator and other applications of frames. In this paper, the concept of biframe is
Maryam Firouzi Parizi   +2 more
doaj   +1 more source

Delone sets and Riesz basis [PDF]

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1998
A standard technique of obtaining a Riesz basis for a Hilbert space is by considering exponential maps over a periodic set. The author obtains analogues of the well-known Kadec's 1/4-theorem by replacing the periodic set with a sufficiently close Delone set and constructs Riesz bases for the Hilbert spaces \(L^2 (W_A(0))\) and \(H^1 [-\pi,\pi]\) (where
openaire   +3 more sources

Strong summability methods in a Riesz-type family; pp. 238–250 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
We continue our studies on Riesz-type families of summability methods for functions and sequences, started in (Proc. Estonian Acad. Sci., 2008, 57, 70–80) and (Math. Model. Anal., 2010, 15, 103–112). Strong summability methods defined on the basis of
Anna Šeletski, Anne Tali
doaj   +1 more source

Binary Operations in Metric Spaces Satisfying Side Inequalities

open access: yesMathematics, 2021
The theory of metric spaces is a convenient and very powerful way of examining the behavior of numerous mathematical models. In a previous paper, a new operation between functions on a compact real interval called fractal convolution has been introduced.
María A. Navascués   +2 more
doaj   +1 more source

Binary basic splines in MRA [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
$B$-splines were introduced by Carry and Schoenberg. Constructed on a uniform mesh and defined in terms of convolutions, such splines generate a Riesz MRA.
Chumachenko, Sergei A.
doaj   +1 more source

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