In the present paper, optimal quadrature formulas in the sense of Sard are constructed fornumerical integration of the integral ∫ a b e 2πiωx φ( x )dx with ω ∈ ℝ in the Sobolev space L 2 ( m ) [ a,b ] ...
Every non-zero complex homomorphism of the almost periodic functions on an abelian group is induced by the Fourier transform. A Plancherel formula for almost periodic functions and a necessary ...
Almost periodic functions serve as a powerful conceptual framework in analysing differential equations whose coefficients or forcing terms exhibit recurrent behaviour over time. Rooted in the ...
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