Results 11 to 20 of about 43,404 (168)
Multiplicative functionals on function Algebras
It is in general of interest to identify certain characters of the algebra A of all real analytic or real \(C^ n\)-functions on some real Banach space E as point evaluations at some point of E. The authors prove a general theorem in this direction. Some applications of this theorem are cases where every character is the point evaluation.
Gómez Gil, Javier, Llavona, José G.
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Investigations of the analytic and probabilistic number theory in Šiauliai University
In this paper, the investigations of analytic and probabilistic number theory which were done in Šiauliai University are reviewed.
Darius Šiaučiūnas
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Injectiveness and Discontinuity of Multiplicative Convex Functions
In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct ...
Pablo Jiménez-Rodríguez +3 more
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On a Multiplicative Partition Function [PDF]
Let $D(s)=\sum^\infty_{m=1}a_mm^{-s}$ be the Dirichlet series generated by the infinite product $\prod^\infty_{k=2}(1-k^{-s})$. The value of $a_m$ for squarefree integers $m$ with $n$ prime factors depends only on the number $n$, and we let $f(n)$ denote this value.
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Multiple functions of USP18 [PDF]
Since the discovery of the ubiquitin system and the description of its important role in the degradation of proteins, many studies have shown the importance of ubiquitin-specific peptidases (USPs). One special member of this family is the USP18 protein (formerly UBP43).
Honke, Nadine +4 more
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Some characterizations of specially multiplicative functions
A multiplicative function f is said to be specially multiplicative if there is a completely multiplicative function fA such that f(m)f(n)=∑d|(m,n)f(mn/d2)fA(d) for all m and n.
Pentti Haukkanen
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Multiple Gamma Functions and Multiple $q$-Gamma Functions
We give an asymptotic expansion ( the higher Stirling formula ) and an infinite product representation ( the Weierstrass canonical product representation ) of the Vigneras multiple gamma functions by considering the classical limit of the multiple
Ueno, Kimio, Nishizawa, Michitomo
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Multiple rotation function [PDF]
A simultaneous analysis of several rotation functions allows identification of the model orientation in situations when a single rotation function fails to find the answer. Multiple rotation functions can be obtained by the usual modification of the search model or by variation of the resolution at which the function is calculated. A specially suitable
Alexandre, Urzhumtsev +1 more
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Solutions and Stability of Generalized Kannappan’s and Van Vleck’s Functional Equations
We study the solutions of the integral Kannappan’s and Van Vleck’s functional equations ∫Sf(xyt)dµ(t)+∫Sf(xσ(y)t)dµ(t)= 2f(x)f(y), x,y ∈ S; ∫Sf(xσ(y)t)dµ(t)-∫Sf(xyt)dµ(t)= 2f(x)f(y), x,y ∈ S; where S is a semigroup, σ is an involutive automorphism of S ...
Elqorachi Elhoucien, Redouani Ahmed
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On the Multiple Gamma-Functions
The authors obtain generalizations of the Shintani type infinite product representations for the \(r\)-ple gamma functions \(\Gamma_r(w;\widetilde\omega)\) and \(r\)-ple Stirling's modular forms \(\rho_r(\widetilde\omega)\) in the sense of Barnes. As an application, ``a simple proof'' of the inversion formulas of theta-function and Dedekind \(\eta ...
KATAYAMA, Koji, OHTSUKI, Makoto
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