Results 21 to 30 of about 21,084 (200)

Decomposition of A Fuzzy Function By One-Dimensional Fuzzy Multiresolution Analysis

Journal of Computing Research and Innovation, 2023
Signal compression and data compression are techniques for storing and transmitting signals using fewer bits as possible for encoding a complete signal. A good signal compression scheme requires a good signal decomposition scheme.
Jean-louis Akakatshi Ossako, Rebecca Walo Omana, Richard Bopili Mbotia, Antoine Kitombole Tshovu   +3 more
doaj   +3 more sources

An overview of the null-field method. II: Convergence and numerical stability

Physics Open, 2020
In this paper we provide an analysis of the convergence and numerical stability of the null-field method with discrete sources. We show that (i) if the null-field scheme is numerically stable then we can decide whether or not convergence can be achieved;
Adrian Doicu, Michael I. Mishchenko
doaj   +1 more source

Boundedness from H^1 to L^1 of Riesz transforms on a Lie group of exponential growth [PDF]

, 2007
Let $G$ be the Lie group given by the semidirect product of $R^2$ and $R^+$ endowed with the Riemannian symmetric space structure. Let $X_0, X_1, X_2$ be a distinguished basis of left-invariant vector fields of the Lie algebra of $G$ and define the ...
Sjögren, Peter, Vallarino, Maria
core   +3 more sources

Some New Notions of Bases for the Range of Operators in Hilbert Spaces [PDF]

Sahand Communications in Mathematical Analysis
This paper is devoted to introduce a new concept of bases for the range of the operator $K$. Actually, we consider controlled $K$-orthonormal and controlled $K$-Riesz bases which are a generalization of ordinary bases in Hilbert spaces. In the sequel, we
Hessam Hosseinnezhad
doaj   +1 more source

Riesz Basicity for General Systems of Functions

Journal of Function Spaces, 2014
In this paper we find the general conditions for a complete biorthogonal conjugate system to form a Riesz basis. We show that if a complete biorthogonal conjugate system is uniformly bounded and its coefficient space is solid, then the system forms a ...
A. M. Sarsenbi, P. A. Terekhin
doaj   +1 more source

Hamiltonians defined by biorthogonal sets [PDF]

, 2017
In some recent papers, the studies on biorthogonal Riesz bases has found a renewed motivation because of their connection with pseudo-hermitian Quantum Mechanics, which deals with physical systems described by Hamiltonians which are not self-adjoint but ...
Bagarello, Fabio, Bellomonte, Giorgia
core   +2 more sources

A New Approach to Continuous Riesz Bases [PDF]

Journal of Sciences, Islamic Republic of Iran, 2013
This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis.
A.A. Arefijamaal, R.A. Kamyabi Gol, R. Raisi Tousi, N. Tavallaei   +3 more
doaj  

Comment on “Continuous g-Frame in Hilbert -Modules”

Abstract and Applied Analysis, 2013
The continuous g-frames in Hilbert -modules were introduced and investigated by Kouchi and Nazari (2011). They also studied the continuous g-Riesz basis and a characterization for it was presented by using the synthesis operator. However, we found that
Zhong-Qi Xiang
doaj   +1 more source

Riesz bases and positive operators on Hilbert space

International Journal of Mathematics and Mathematical Sciences, 2003
It is shown that a normalized Riesz basis for a Hilbert space H (i.e., the isomorphic image of an orthonormal basis in H) induces in a natural way a new, but equivalent, inner product on H in which it is an orthonormal basis, thereby extending the sense ...
James R. Holub
doaj   +1 more source

Riesz bases of exponentials on multiband spectra [PDF]

, 2011
Let $S$ be the union of finitely many disjoint intervals on the real line. Suppose that there are two real numbers $\alpha, \beta$ such that the length of each interval belongs to $Z \alpha + Z \beta$.
Lev, Nir
core   +1 more source