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-g-frames in tensor products of Hilbert C-modules

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Rossafi M., Kabbaj S.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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2018

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tom 17

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Stability of generalized quadratic functional equation on a set of measure zero

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Aribou Y., Dimou H., Chahbi A., Kabbaj S.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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2015

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tom 14

EN

In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation [...] where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.

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On the superstability of the cosine and sine type functional equations

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Lehlou F., Moussa M., Roukbi A., Kabbaj S.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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2016

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tom 15

EN

In this paper, we study the superstablity problem of the cosine and sine type functional equations: f(xσ(y)a)+f(xya)=2f(x)f(y) $$f(x\sigma (y)a) + f(xya) = 2f(x)f(y)$$ and f(xσ(y)a)−f(xya)=2f(x)f(y), $$f(x\sigma (y)a) - f(xya) = 2f(x)f(y),$$ where f : S → ℂ is a complex valued function; S is a semigroup; σ is an involution of S and a is a fixed element in the center of S.

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Solution of a functional equation on compact groups using Fourier analysis

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Chahbi A., Fadli B., Kabbaj S.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

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2015

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tom 69

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nr 2

EN

Let $G$ be a compact group, let $n \in N\setminus \{0,1\}$ be a fixed element and let $\sigma$ be a continuous automorphism on $G$ such that $\sigma^n=I$. Using the non-abelian Fourier transform, we determine the non-zero continuous solutions $f:G \to C$ of the functional equation \[ f(xy)+\sum_{k=1}^{n-1}f(\sigma^k(y)x)=nf(x)f(y),\ x,y \in G,\] in terms of unitary characters of $G$.

Ograniczanie wyników

3 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

4 Kabbaj S.

2 Chahbi A.

1 Aribou Y.

1 Dimou H.

1 Fadli B.

1 Lehlou F.

1 Moussa M.

1 Rossafi M.

1 Roukbi A.

1 2018

1 2016

2 2015

-g-frames in tensor products of Hilbert C-modules

Stability of generalized quadratic functional equation on a set of measure zero

On the superstability of the cosine and sine type functional equations

Solution of a functional equation on compact groups using Fourier analysis

Ograniczanie wyników

Wyniki wyszukiwania

*-g-frames in tensor products of Hilbert C*-modules

Stability of generalized quadratic functional equation on a set of measure zero

On the superstability of the cosine and sine type functional equations

Solution of a functional equation on compact groups using Fourier analysis

-g-frames in tensor products of Hilbert C-modules