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Base change problems for generalized Walsh series and multivariate numerical integration

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Publication:1305105
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DOI10.2140/pjm.1999.189.75zbMath0928.43003OpenAlexW2062842007MaRDI QIDQ1305105

Gerhard Larcher, Gottlieb Isabel Pirsic

Publication date: 7 October 1999

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.189.75


zbMATH Keywords

Walsh functionsbase changeWalsh seriesfinite abelian groupmultivariate numerical integration


Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Other transforms and operators of Fourier type (43A32) Numerical integration (65D30)


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Calculation of the quality parameter of digital nets and application to their construction ⋮ Projections of digital nets and sequences ⋮ Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces ⋮ The weighted \(b\)-adic diaphony ⋮ Optimal quadrature for Haar wavelet spaces



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