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Function theory and multiplicative linear functionals [PDF]
Transactions of the American Mathematical Society, 1965 The principal result of this paper is that HO is a logmodular algebra on the maximal ideal space of Lw(m), i.e., that each real-valued function in L(m) is the logarithm of the modulus of an invertible function in the algebra H'. This enables us to deduce from (a) and (b) the bulk of the generalized analytic function theory which is valid for logmodular
Hoffman, K., Rossi, H.
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On the Alienation of Multiplicative and Additive Functions
Annales Mathematicae SilesianaeGiven S a semigroup. We study two Pexider-type functional equations fxy+gxy=fx+fy+gxgy, x, y∈S,f\left( {xy} \right) + g\left( {xy} \right) = f\left( x \right) + f\left( y \right) + g\left( x \right)g\left( y \right), \;\;\;\;x,\;y \in S, and ...
Chakiri Mohamed +2 more
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On Schur multiple zeta functions: A combinatoric generalization of multiple zeta functions [PDF]
Advances in Mathematics, 2018 We introduce Schur multiple zeta functions which interpolate both the multiple zeta and multiple zeta-star functions of the Euler-Zagier type combinatorially. We first study their basic properties including a region of absolute convergence and the case where all variables are the same.
Nakasuji, M. +2 more
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On Benford’s law for multiplicative functions
Proceedings of the American Mathematical Society, 2023 We provide a criterion to determine whether a real multiplicative function is a strong Benford sequence. The criterion implies that the k k
Chandee, Vorrapan +3 more
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An investigation into multiplicative fractional Weddle’s inequalities
Boundary Value ProblemsThis article presents a new way to think about multiplicative Weddle inequalities, which is based on multiplicative Riemann-Liouville fractional integrals.
Bouharket Benaissa +2 more
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Semimultiplicative generalized arithmetical functions [PDF]
Mathematica BohemicaBy a generalized arithmetical function we mean a function from the set of positive integers to a ring with identity, and we say that a generalized arithmetical function $f$ is semimultiplicative if $f(n) = c_f f_M(n/a_f)$, where $c_f$ is a unit in the ...
Pentti Haukkanen
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On generalizations of the Pompeiu functional equation
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, we determine the general solution of the functional equations f(x+y+xy)=p(x)+q(y)+g(x)h(y), (∀x,y∈ℜ*) and f(ax+by+cxy)=f(x)+f(y)+f(x)f(y), (∀x,y∈ℜ) which are generalizations of a functional equation studied by Pompeiu. We present a
Pl. Kannappan, P. K. Sahoo
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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]
Mathematica BohemicaA specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
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A Weberized Total Variation Regularization-Based Image Multiplicative Noise Removal Algorithm
EURASIP Journal on Advances in Signal Processing, 2010 Multiplicative noise removal is of momentous significance in coherent imaging systems and various image processing applications. This paper proposes a new nonconvex variational model for multiplicative noise removal under the Weberized total variation ...
Xiao Liang, Huang Li-Li, Wei Zhi-Hui
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Simulating multi-fractal sea clutter and surface based on the random multiplicative model
The Journal of Engineering, 2019 It has been proved that the multi-fractal sea clutter can be simulated by the three-partitioned random multiplicative model. This study constructs multi-fractal sequences with similar multiplicative factors of the sea clutter of the IPIX radar and ...
Caiping Xi +3 more
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