Sopra alcune convoluzioni divergenti

Susana Elena Trione

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 57, Issue: 3-4, page 143-146
  • ISSN: 0392-7881

Abstract

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We give a sense to certain divergent convolutions of the form ( P ± i ⁢ 0 ) λ ∗ ( P ± i ⁢ 0 ) μ (see, for the definition of these notations, formulae (2), (4), (5)). As an application of our formulae we obtain the explicit value of a constant which appears in a formula of Fuglede (see [1], p. 7, Lemma 3.1). We observe that many of the "divergences" appearing in quantum field theory are precisely divergent convolutions of the form ( P ± i ⁢ 0 ) λ ∗ ( P ± i ⁢ 0 ) μ (see [2], pp. 151-183).

How to cite

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Trione, Susana Elena. "Sopra alcune convoluzioni divergenti." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 57.3-4 (1974): 143-146. <http://eudml.org/doc/293586>.

@article{Trione1974,
author = {Trione, Susana Elena},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
month = {9},
number = {3-4},
pages = {143-146},
publisher = {Accademia Nazionale dei Lincei},
title = {Sopra alcune convoluzioni divergenti},
url = {http://eudml.org/doc/293586},
volume = {57},
year = {1974},
}

TY - JOUR
AU - Trione, Susana Elena
TI - Sopra alcune convoluzioni divergenti
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/9//
PB - Accademia Nazionale dei Lincei
VL - 57
IS - 3-4
SP - 143
EP - 146
LA - ita
UR - http://eudml.org/doc/293586
ER -

References

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  1. FUGLEDE, BENT (1960) - The logarithmic potential in higher dimensions, «Math. Fys. Medd. Vid. Selsk.», 33 [1]. Zbl0098.07002MR125248
  2. DE JAGER, E. M. (1964) - Applications of distributions in Mathematical Physics, Mathematisch Centrum, Amsterdam. Zbl0148.18302MR182179
  3. GELFAND, I. M. e SHILOV, G. E. (1964) - Generalized Functions, Vol. I, Academic Press, New York. MR166596
  4. RIESZ, M. (1949) - L'intégrale de Riemann-Liouville et le problème de Cauchy, «Acta Mathematica», 81, 1-223. Zbl0033.27601MR30102DOI10.1007/BF02395016
  5. TRIONE, S. E. (1972) - Tesis doctoral, Universidad de Buenos Aires, Faculdad de Ciencias Exactas y Naturales, Buenos Aires. 

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