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A generalization ofH μ-spaces and Hankel transforms

Одно обобщение прост ранствH μ и ганкелевы преобразования

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Abstract

Вводятся два простра нства тест-функцийH μ,M,a иH Ωμ,b . Изучаются их счетные объеди-нения — пространстваH μ,M иH Ωμ . Р ассматриваются топологические и алг ебраические свойства этих простр анств. Доказано, что преобразование Ганк еляH μ,μ≧−1/2, является изоморфизмом изH μ,H,a наH Ω,1/aμ и и изH μ,M наH Ωμ . Строится операционное исчисл ение, которое применяется для решения одной обо бщенной граничной задачи.

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Authors and Affiliations

  1. Department of Mathematics, King Saud University, Riyad, Saudi Arabia

    R. S. Pathak & H. K. Sahoo

  2. Banaras Hindu University, Varanasi, India

    R. S. Pathak & H. K. Sahoo

Authors
  1. R. S. Pathak
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  2. H. K. Sahoo
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Pathak, R.S., Sahoo, H.K. A generalization ofH μ-spaces and Hankel transforms. Analysis Mathematica 12, 129–142 (1986). https://doi.org/10.1007/BF02027297

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  • DOI: https://doi.org/10.1007/BF02027297

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