对正弦加法公式的扩展积分

Q3 Mathematics

Mathematical Modeling and Computing Pub Date : 2023-01-01 DOI:10.23939/mmc2023.03.833

M. Tial

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引用次数: 0

摘要

本文确定了Stetkær对正弦加法律∫Gf(xyt)dμ(t)=f(x)χ1(y)+χ2(x)f(y)， x,y∈G的积分泛函方程的连续解，其中f:G→C, G是一个局部紧Hausdorff群，μ是G上的正则紧支持复值Borel测度，χ1， χ2是G上的固定特征。

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Integral of an extension of the sine addition formula

In this paper, we determine the continuous solutions of the integral functional equation of Stetkær's extension of the sine addition law ∫Gf(xyt)dμ(t)=f(x)χ1(y)+χ2(x)f(y), x,y∈G, where f:G→C, G is a locally compact Hausdorff group, μ is a regular, compactly supported, complex-valued Borel measure on G and χ1, χ2 are fixed characters on G.

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来源期刊

Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics

CiteScore

1.60

自引率

0.00%

发文量