Generalizations of Van Vleck’s functional equation on semigroups: Generalizations of Van Vleck's functional equation on semigroups

Authors: Youssef Aserrar, Elhoucien Elqorachi

Source: Rendiconti del Circolo Matematico di Palermo Series 2. 74

Subject Terms: automorphism, semigroup, Van Vleck's functional equation, Functional equations for functions with more general domains and/or ranges, multiplicative function, measure

File Description: application/xml

Kannappan–Wilson and Van Vleck–Wilson functional equations on semigroups: Kannappan-Wilson and van Vleck-Wilson functional equations on semigroups

Authors: Aserrar, Y., Elqorachi, E.

Source: Acta Mathematica Hungarica. 173:193-213

Subject Terms: Mathematics - Functional Analysis, automorphism, semigroup, Wilson's functional equation, FOS: Mathematics, 39B52 (Primary), 39B32 (Secondary), Functional equations for functions with more general domains and/or ranges, Functional equations for complex functions, measure, van Vleck's functional equation, Functional Analysis (math.FA)

File Description: application/xml

Access URL: http://arxiv.org/abs/2405.03835
https://zbmath.org/7915661
https://doi.org/10.1007/s10474-024-01433-y

Hyers–Ulam stability of norm-additive functional equations via $(\delta , \epsilon )$-isometries: Hyers-Ulam stability of norm-additive functional equations via \((\delta, \epsilon)\)-isometries

Authors: Muhammad Sarfraz, Jiang Zhou, Yongjin Li

Source: Journal of Inequalities and Applications, Vol 2025, Iss 1, Pp 1-16 (2025)

Subject Terms: Hyers–Ulam stability, Banach space, Perturbations of functional-differential equations, Functional analysis techniques applied to functions of several complex variables, isometry, QA1-939, norm-additive functional equations, Functional equations for functions with more general domains and/or ranges, Stability, separation, extension, and related topics for functional equations, Hyers-Ulam stability, Isometry, Norm-additive functional equations, Mathematics

File Description: application/xml

Access URL: https://zbmath.org/8034439
https://doi.org/10.1186/s13660-024-03233-y
https://doaj.org/article/ae7eceda9b9a4c638346eaa28278840b

Alienation and stability of Jensen’s and other functional equations: Alienation and stability of Jensen's and other functional equations

Authors: Tial, Mohamed, Zeglami, Driss

Source: Aequationes mathematicae. 99:275-286

Subject Terms: additivity, alienation, exponential Cauchy equation, Stability, separation, extension, and related topics for functional equations, Functional equations for functions with more general domains and/or ranges, Drygas functional equation, Functional inequalities, including subadditivity, convexity, etc, stability, Jensen's equation

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Access URL: https://zbmath.org/8009183
https://doi.org/10.1007/s00010-024-01046-4

Exponential semi-polynomials and their characterization on semigroups

Authors: Bruce Ebanks

Source: Aequationes mathematicae. 99:321-333

Subject Terms: Semigroups of transformations, relations, partitions, etc, Spectral synthesis on groups, semigroups, etc, polynomial, topological semigroup, semigroup, exponential polynomial, tractable prime ideal, Functional equations for functions with more general domains and/or ranges, exponential semi-polynomial

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Continuous dependence of the weak limit of iterates of some random-valued vector functions

Authors: Komorek, Dawid

Source: Aequationes mathematicae. 97:753-776

Subject Terms: random-valued function, invariant measure, iterative equation, Functional equations for functions with more general domains and/or ranges, Iteration theory, iterative and composite equations, random iteration, 0101 mathematics, Iteration of real functions in one variable, 01 natural sciences, Random iteration, Hutchinson distance, Fortet-Mourier distance, random affine map

File Description: application/xml

Access URL: https://zbmath.org/7697387
https://doi.org/10.1007/s00010-023-00959-w

Additive relations

Authors: Szaz, A., Szaz, G.

Source: Publicationes Mathematicae Debrecen. 20:259-272

Subject Terms: Other classical set theory (including functions, relations, and set algebra), Structure theory of algebraic structures, Functional equations for functions with more general domains and/or ranges, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/3563211

On a functional equation characterizing inner product spaces

Authors: Alsina, Claudi, García Roig, Jaime L.

Source: Publicationes Mathematicae Debrecen. 39:299-304

Subject Terms: norm, convex functional, additive function, linear automorphism, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), linear independence, Functional equations for functions with more general domains and/or ranges, continuous surjection, functional equation, 0101 mathematics, characterization of inner product space, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/61526

On measurable solutions of functional equations

Authors: Jarai, Antal

Source: Publicationes Mathematicae Debrecen. 26:17-35

Subject Terms: bounded solutions, metric spaces, Metric spaces, metrizability, Functional equations for functions with more general domains and/or ranges, continuous solutions, 0101 mathematics, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence, 01 natural sciences, measurable solutions, Functional equations and inequalities

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Access URL: https://zbmath.org/3674641

On the convergence of iterated Pilgerschritt transformation in nilpotent Lie groups

Authors: Netzer, N., Reitberger, H.

Source: Publicationes Mathematicae Debrecen. 29:309-314

Subject Terms: iterated Pilgerschritt transforms, Cr-path, Analysis on real and complex Lie groups, matrix differential equation, Nilpotent and solvable Lie groups, Dynamics induced by flows and semiflows, translation equation, Lie algebras of Lie groups, homotopy, Functional equations for functions with more general domains and/or ranges, 0101 mathematics, 01 natural sciences, free algebra

File Description: application/xml

Access URL: https://zbmath.org/3836361

Generalized difference-property for functions of several variables

Authors: Lajko, K.

Source: Publicationes Mathematicae Debrecen. 25:169-176

Subject Terms: Ordered Field, Functional Equations on Abstract Structures, Jensen-Function, Ordered fields, Additive Abelian Group, Functional equations for functions with more general domains and/or ranges, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3633036

Analytische und fraktionelle Iteration formal-biholomorpher Abbildungen und Differenzenrechnung

Authors: Reich, Ludwig

Source: Publicationes Mathematicae Debrecen. 27:49-60

Subject Terms: Real-analytic manifolds, real-analytic spaces, Matrix and operator functional equations, biholomorphic mappings, Functional equations for functions with more general domains and/or ranges, Formal power series rings, 0101 mathematics, 01 natural sciences, analytic and fractional iteration

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Access URL: https://zbmath.org/3712509

On Cauchy's nucleus

Authors: Grzaslewicz, A., Powazka, Z., Tabor, J.

Source: Publicationes Mathematicae Debrecen. 25:47-51

Subject Terms: Existence of Solutions, Functional Equations on Algebraic Structures, Functional equations for functions with more general domains and/or ranges, 0101 mathematics, 01 natural sciences, Functional equations and inequalities, Necessary and Sufficient Conditions

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Access URL: https://zbmath.org/3616860

On quadratic set valued functions

Authors: Nikodem, Kazimierz

Source: Publicationes Mathematicae Debrecen. 30:297-301

Subject Terms: Functional equations for functions with more general domains and/or ranges, quadratic functionals, 0101 mathematics, set valued functions, 01 natural sciences, Functional equations and inequalities

File Description: application/xml

Access URL: https://zbmath.org/3853649

A sine functional equation in Banach algebras

Authors: Nagy, B.

Source: Publicationes Mathematicae Debrecen. 24:77-90

Subject Terms: Banach algebras of continuous functions, function algebras, Functional equations for functions with more general domains and/or ranges, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/3577703

Almost additive functions on Ehresmann groupoids

Authors: Baster, Janusz

Source: Publicationes Mathematicae Debrecen. 37:175-180

Subject Terms: Functional equations for functions with more general domains and/or ranges, almost additive functions, 0101 mathematics, Ehresmann groupoid, 01 natural sciences, Groupoids (i.e. small categories in which all morphisms are isomorphisms), linearly invariant ideals, almost additivity

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Access URL: https://zbmath.org/9554

On the solutions of the functional equation $f(xf(y)^l+yf(x)^k)=tf(x)f(y)$: On the solutions of the functional equation \(f(xf(y)^ l + yf(x)^ k) = tf(x)f(y)\)

Authors: Brzdȩk, Janusz

Source: Publicationes Mathematicae Debrecen. 38:175-183

Subject Terms: Functional equations for real functions, Functional equations for functions with more general domains and/or ranges, continuous solutions, linear space, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/21993

Analytic solutions of Schröder equation

Authors: Smajdor, Wilhelmina

Source: Publicationes Mathematicae Debrecen. 26:149-153

Subject Terms: analytic solutions in Banach spaces, Functional equations for functions with more general domains and/or ranges, Iteration theory, iterative and composite equations, Schröder functional equation, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3695755

Remarks on Hyers's theorem

Authors: Székelyhidi, László

Source: Publicationes Mathematicae Debrecen. 34:131-135

Subject Terms: semigroup, Functional equations for functions with more general domains and/or ranges, amenability, Difference operators, seminorm, 0101 mathematics, 01 natural sciences, stability of linear functional equations, difference operators

File Description: application/xml

Access URL: https://zbmath.org/4019642

Local polynomials and functional equations

Authors: Székelyhidi, László

Source: Publicationes Mathematicae Debrecen. 30:283-290

Subject Terms: local polynomials, topological Abelian groups, Functional equations for functions with more general domains and/or ranges, local mean value property, 0101 mathematics, continuous solution, square functional equation, 01 natural sciences, Functional equations and inequalities

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Access URL: https://zbmath.org/3859650