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Original Articles

Hermite expansions and products of tempered distributions

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Pages 233-243 | Received 16 Sep 2005, Published online: 20 Mar 2007

References

  • Oberguggenberger , M. 1992 . Multiplication of Distributions and Applications to Partial Differential Equations , Longman Science and Technology . Pitman Research Notes in Math. Series 259
  • Antosik , P. , Mikusiński , J. and Sikorski , R. 1973 . “ Theory of distributions ” . In The Sequential Approach , Ansterdam-Warszawa : Elsevier-PWN .
  • Schwartz , L. 1950 . Théorie des distributions , Vol. I, II , Paris : Hermann .
  • Schwartz , L. 1951 . Théorie des distributions , Vol. I, II , Paris : Hermann .
  • Reed , M. and Simon , B. 1972 . Methods of Modern Mathematical Physics , Vol. I , New York-London : Academic Press .
  • Zemanian , A. 1965 . “ Distribution theory and transform analysis ” . In An Introduction to Generalized Functions with Applications , Dover Publishers .
  • Zemanian , A. 1968 . Generalized Integral Transformations , Interscience Publishers .
  • Lewandowska , S. and Mikusiński , J. 1974 . On Hermite expansions of 1/x and 1/|x| . Annales Polonici Mathematici , 29 : 167 – 172 .
  • Sadlok , Z. and Tyc , Z. 1977 . On Hermite expansions of x k and ln|x| . Annales Polonici Mathematici , 34 : 63 – 68 .
  • Sadlok , Z. 1980 . On Hermite expansion of . Annales Polonici Mathematici , 38 : 159 – 162 .
  • Gonzalez , Dominguez A. and Scarfiello , R. 1956 . Nota sobre la fórmula νp 1/x · δ = − 1/2 δ′ . Revista de la Unión Matemática Argentina , 1 : 53 – 67 .

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