A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
From MaRDI portal
Publication:5579335
DOI10.4064/ap-22-2-189-198zbMath0187.39903OpenAlexW1236790333MaRDI QIDQ5579335
Publication date: 1969
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/ap-22-2-189-198
Related Items (59)
Stability of a functional equation for generalized polynomials ⋮ Characterization of \(t\)-affine differences and related forms ⋮ Arithmetically homogeneous functions: characterizations, stability and hyperstability ⋮ On products of additive functions ⋮ Montel-type theorems for exponential polynomials ⋮ A solution to a problem of J. Schwaiger ⋮ Ultrametric approximations of a Drygas functional equation ⋮ On the hyperstability of \(\sigma\)-Drygas functional equation on semigroups ⋮ Hyperstability of the generalized polynomial functional equation of degree 5 ⋮ Spectral Analysis and Spectral Synthesis ⋮ Christensen measurable solutions of generalized Cauchy functional equations ⋮ Functional equations on convex sets ⋮ Hyers-Ulam stability of functional equations in several variables ⋮ Stability of a monomial functional equation on a restricted domain ⋮ Semigroups of moment functions ⋮ Triangular mean value theorems and Fréchet's equation ⋮ Taylor type formula with Fréchet polynomials ⋮ On polynomial functions on non-commutative groups ⋮ A fixed point approach to Ulam-Hyers stability of duodecic functional equation in quasi-\(\beta\)-normed spaces ⋮ A functional definition of polynomial for connected Lie groups ⋮ Functional equations for exponential polynomials ⋮ Groups of convex bodies ⋮ Approximate testing with error relative to input size. ⋮ Generalized polynomials on semigroups ⋮ Stability of generalized quadratic functional equation on a set of measure zero ⋮ Invariant Means in Stability Theory ⋮ Measure Zero Stability Problem for Drygas Functional Equation with Complex Involution ⋮ Solution of Generalized Jensen and Quadratic Functional Equations ⋮ Vector valued polynomials, exponential polynomials and vector valued harmonic analysis ⋮ Chevalley-Warning type results on abelian groups ⋮ The failure of spectral synthesis on some types of discrete abelian groups ⋮ A stability criterion for Fréchet's first polynomial equation ⋮ On Cauchy differences of all orders ⋮ Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation ⋮ Polynomials of arithmetically homogeneous functions: stability and hyperstability ⋮ On convex-valued G-\(m\)-monomials with applications in stability theory ⋮ On Montel and Montel-Popoviciu theorems in several variables ⋮ ON THE HYPERSTABILITY OF A PEXIDERISED -QUADRATIC FUNCTIONAL EQUATION ON SEMIGROUPS ⋮ Difference operators, distributions and functional equations ⋮ The form of multi-additive symmetric functions ⋮ Indefinite sequences with a finite order singularity in the complex moment problem ⋮ Noetherian rings of polynomial functions on abelian groups ⋮ The Fréchet functional equation for Lie groups ⋮ Recursive procedure in the stability of Fréchet polynomials ⋮ On the hyperstability of the generalized class of Drygas functional equations on semigroups ⋮ The Kac-Bernstein functional equation on abelian groups ⋮ Harmonic analysis on conelike bodies and holomorphic functions on tube domains ⋮ On a new class of functional equations satisfied by polynomial functions ⋮ A generalized mixed type of quartic-cubic-quadratic-additive functional equations ⋮ Each semipolynomial on a group is a polynomial ⋮ A representation problem for smooth sums of ridge functions ⋮ The Levi-Civita equation in function classes ⋮ Independent Linear Statistics on the Cylinders ⋮ On the construction of functional equations with prescribed general solution ⋮ Almost periodicity and functional equations ⋮ On the algebraic and arithmetical structure of generalized polynomial algebras ⋮ Spaces of Besov-Sobolev type and a problem on nonlinear approximation ⋮ Regularity properties of polynomials on groups ⋮ A functional equation for exponential polynomials
This page was built for publication: A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
