Results 281 to 290 of about 49,282 (308)

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.
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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
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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
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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
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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.
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Functional MRI in Multiple Sclerosis

Journal of Neuroimaging, 2004
ABSTRACTThere is increasing evidence that the severity of the clinical manifestations of multiple sclerosis (MS) does not simply depend on the extent of tissue destruction, but rather represents a complex balance among tissue damage, tissue repair, and cortical reorganization.
FILIPPI , MASSIMO, Rocca MA
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On the Multiplicative Complexity of Boolean Functions

Fundamenta Informaticae, 2016
The multiplicative complexity μ(f) of a Boolean function f is the smallest number of & (of AND gates) in circuits in the basis {x&y, x⊕y, 1} such that each circuit implements the function f. By μ(S) we denote the number of & (of AND gates) in a circuit S in the basis {x&y, x ⊕ y, 1}. We present a method to construct circuits in the basis {x&y, x ⊕ y, 1}
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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
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Multiplicative Functions Resembling the Möbius Function

Acta Mathematica Sinica, English Series, 2023
Liu Qing Yang
exaly  

Existence of Positive Solutions to Singular φ-Laplacian Nonlocal Boundary Value Problems when φ is a Sup-multiplicative-like Function

Mathematics, 2020
Chan-Gyun Kim
exaly