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On Wilson’s functional equations
Aequationes mathematicae, 2014This paper concerns mainly a variant of Wilson's functional equation. It is shown that the solutions can be expressed in terms of characters, additive functions and matrix-elements of irreducible 2-dimensional representations of the underlying group. So the theory is part of the harmonic analysis on groups.
Ebanks, Bruce, Stetkaer, Henrik
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2002
Abstract It sometimes happens that theories in psychology or other empirical sciences are formalized by equations involving unknown functions. For instance, the theorist may be reluctant to make specific assumptions regarding the form of the functions involved in a mathematical model.
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Abstract It sometimes happens that theories in psychology or other empirical sciences are formalized by equations involving unknown functions. For instance, the theorist may be reluctant to make specific assumptions regarding the form of the functions involved in a mathematical model.
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Functions and Functional Equations
2015The concept of function is one of the most important in mathematics. A function is a relation between elements of two sets X and Y , which we denote by f : X → Y , that satisfies.
Radmila Bulajich Manfrino +2 more
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On Fréchet’s functional equation
Monatshefte für Mathematik, 2013The paper is devoted to the basic theorem on polynomials, originally proved by \textit{D. Ž. Đoković} [Ann. Pol. Math. 22, 189--198 (1969; Zbl 0187.39903)], which states that a function \(f: G\to\mathbb{C}\), defined on an abelian group \(G\), is a generalized polynomial of degree at most \(n\), i.e., satisfies Fréchet's equation \[ \Delta_{y_1,y_2 ...
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MetaboAnalyst 5.0: narrowing the gap between raw spectra and functional insights
Nucleic Acids Research, 2021Zhiqiang Pang +2 more
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