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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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On $q$-multiplicative functions

Publicationes Mathematicae Debrecen, 2002
Let \(g:{\mathbb N}_0\to{\mathbb C}\) be a \(q\)-multiplicative function with modulus \(1\), i.e.
Indlekofer, K.-H.   +2 more
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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 functions, multiple sine functions, and Appell’s O-functions

The Ramanujan Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Summation of multiplicative functions

Russian Mathematical Surveys, 2002
Es seien \(f_1(n)\) eine total und \(f_2(n)\) eine streng multiplikative zahlentheoretische Funktion und \(f(n)=f_1(n)f_2(n)\). \(f_2(n)\) heißt dabei streng multiplikativ, wenn \(f_2(p^a)= f_2(p)\) für jede Primzahl \(p\) und jede natürliche Zahl \(a\) ist. Es sei \(k\) eine natürliche Zahl.
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The Multiple Functions of Hemoglobin

Critical Reviews in Biochemistry and Molecular Biology, 1995
The aim of this review is to focus and discuss several parallel biological functions of hemoglobin besides its basic function of oxygen transport. In light of the information present in the literature the following possible physiological roles of hemoglobin are discussed: (1) hemoglobin as molecular heat transducer through its oxygenation-deoxygenation
Giardina, Bruno   +3 more
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Almost multiplicative functions and almost linear multiplicative functionals

Aequationes mathematicae, 2002
Among others the following result is offered. If \(\delta>0\), \(A\) is a real Banach algebra, and \(\varphi: A\to\mathbb{R}\) a \(\delta\)-homomorphism, that is, \[ |\varphi(x+y)-\varphi(x)-\varphi(y)|\leq\delta(\|x\|+\|y\|),\quad |\varphi(xy)-\varphi(x)\varphi(y)|\leq \delta\|x\|\|y\|, \] then \(2\sup_{x\in A\setminus \{0\}} |\varphi(x)|/\|x\|\leq 1+(
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Multiplicative Functions

1995
Abstract The function method is a powerful tool in some branches of number theory. Suppose we are given a property R of the positive integers, and suppose we can define a function r which represents R, then we can apply algebraic or analytic techniques to r in the hope of characterizing R. For instance.
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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
Choi, Junesang   +2 more
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