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A variational approach to the Dirichlet–Gabor wavelet‐distributed approximating functional

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Abstract

We show that the Dirichlet–Gabor wavelet‐distributed approximating functional (DAF) can be derived from the same variational principle used to obtain non‐interpolating wavelet‐DAFs (such as the Hermite DAF). This variational approach for such interpolating DAFs complements the original viewpoint that they are generated by regularizing interpolating shells or through two‐parameter Dirac delta sequences.

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Authors and Affiliations

  1. Department of Chemistry and Ames Laboratory, Iowa State University, Ames, IA, 50011, USA

    D.K. Hoffman

  2. Department of Computational Sciences, National University of Singapore, 10 Kent Ridge Cresent, Singapore, 119260

    G.W. Wei

  3. Department of Chemistry and Department of Physics, University of Houston, Houston, TX, 77204‐5641, USA

    D.J. Kouri

Authors
  1. D.K. Hoffman
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  2. G.W. Wei
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  3. D.J. Kouri
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Hoffman, D., Wei, G. & Kouri, D. A variational approach to the Dirichlet–Gabor wavelet‐distributed approximating functional. Journal of Mathematical Chemistry 25, 235–244 (1999). https://doi.org/10.1023/A:1019140602004

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