Results 271 to 280 of about 5,237,732 (302)

MULTIPLICATION OF WEAK FUNCTIONS

Acta Mathematica Scientia, 2005
This paper is a continuation of the authors' recent work [\textit{X. Ding} and \textit{P. Luo}, Acta Math. Sci., Ser. B, Engl. Ed. 24, 691--697 (2004; Zbl 1081.33012)] and is concerned with multiplication of weak functions. Here the weak functions are treated as generalized expansions in Hermite functions just as in the same authors' earlier paper ...
Ding, Xiagi, Wang, Zhen
openaire   +1 more source

Coded Computation of Multiple Functions

2023 IEEE Information Theory Workshop (ITW), 2023
National Research Foundation (NRF)
Wilton Kim, Stanislav Kruglik, Han Mao Kiah   +2 more
openaire   +3 more sources

Multiple Gamma and related functions

Applied Mathematics and Computation, 2003
The authors give several new (and potentially useful) relationships between the multiple Gamma functions and other mathematical functions and constants. As by-products of some of these relationships, a classical definite integral due to Euler and other definite integrals are also considered together with closed-form evaluations of some series involving
Junesang Choi, H. M. Srivastava 0001, Victor S. Adamchik   +2 more
openaire   +2 more sources

Approximately Multiplicative Functionals

Journal of the London Mathematical Society, 1986
Let \({\mathfrak A}\) be a commutative Banach algebra with dual \({\mathfrak A}^*\). For \(\phi \in A^*\), define \({\breve \phi}\)(a,b)\(=\phi (ab)- \phi (a)\phi (b)\), and call \(\phi\delta\)-multiplicative iff \(\| {\breve \phi}\| \leq \delta\). \({\mathfrak A}\) is an algebra in which approximately multiplicative functionals are near multiplicative
openaire   +1 more source

The functions of multiple representations

Computers & Education, 1999
Multiple representations and multi-media can support learning in many diAerent ways. In this paper, it is claimed that by identifying the functions that they can serve, many of the conflicting findings arising out of the existing evaluations of multi-representational learning environments can be explained.
openaire   +2 more sources

Some Multiplicative Functionals

Canadian Journal of Mathematics, 1953
This note concerns itself primarily with the representation of continuous multiplicative functionals on L2 types of rings or Banach algebras to the real or complex fields where convolution is taken as the ring multiplication.
openaire   +2 more sources

Smoothness of Multiple Refinable Functions and Multiple Wavelets

SIAM Journal on Matrix Analysis and Applications, 1999
Summary: We consider the smoothness of solutions of a system of refinement equations written in the form \[ \varphi = \sum_{\alpha\in\mathbb{Z}} a(\alpha)\varphi({2 \cdot}-\alpha), \] where the vector of functions \(\varphi=(\varphi_1,\ldots,\varphi_r)^T\) is in \((L_p(\mathbb{R}))^r\) and \(a\) is a finitely supported sequence of \(r \times r ...
Rong-Qing Jia, Sherman D. Riemenschneider, Ding-Xuan Zhou   +2 more
openaire   +2 more sources

On multiplicative Jacobi polynomials and function approximation through multiplicative series

Rendiconti Del Circolo Matematico Di Palermo
In this contribution, we introduce the multiplicative Jacobi polynomials that arise as one of the solutions of the multiplicative Sturm-Liouville equation \begin{equation*} \frac{d^*}{dx}\left( e^{(1-x^2)ω(x)}\odot \frac{d^*y}{dx} \right)\oplus \left(e^
Luis E Garza, Edinson Fuentes
exaly   +1 more source

Multiplicity of Functions On Singular Varieties

International Journal of Mathematics, 2003
Let V be a local complete intersection in a complex manifold W. For a function g on W, we set f = g|V and f′ = g|V′, where V′ denotes the non-singular part of V. For each compact connected component S of the union of the singular set of V and the critical set of f′, we define the virtual multiplicity [Formula: see text] of f at S as the residue of the
Izawa, T., Suwa, T.
openaire   +3 more sources

Estimates for multiplicative functions, I.

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica
In this paper we give upper estimates and asymptotic results for some classes of multiplicative functions. For the proofs we mainly use tools from the convolution arithmetic of number theoretical functions (see [4]).
Indlekofer, Karl-Heinz, Kaya, Erdener
openaire   +1 more source