Luigi Amerio (15 August 1912 – 28 September 2004), was an Italian electrical engineer and mathematician. He is known for his work on almost periodic functions, on Laplace transforms in one and several dimensions, and on the theory of elliptic partial differential equations.

Luigi Amerio
Luigi Amerio
Born(1912-08-15)15 August 1912
Died28 September 2004(2004-09-28) (aged 92)
NationalityItalian
Alma materPolytechnic University of Milan
Scientific career
FieldsAlmost periodic functions
Laplace transform
Elliptic partial differential equations
Hyperbolic partial differential equationss
InstitutionsUniversity of Genova
Polytechnic University of Milan
Doctoral advisorMauro Picone

Works

edit

A selection of Luigi Amerio's scientific papers is published in the two volumes of his "Selecta" (Amerio 1990): he is also the author of several university textbooks and, jointly with his pupil Giovanni Prouse, he wrote the influential monograph on almost periodic functions (Amerio & Prouse 1971).

  • Amerio, Luigi (1943), "Su alcune questioni relative alla trasformazione di Laplace" [On some questions related to the Laplace transform], Istituto Lombardo di Scienze e Lettere, Rendiconti, Classe di Scienze Matematiche e Naturali, Serie III (in Italian), 76 (7): 191–216, MR 0011501, Zbl 0060.24909. In this work, Luigi Amerio proves an important theorem on Laplace transform.
  • Amerio, Luigi (1945), "Sull'integrazione delle equazioni lineari a derivate parziali del secondo ordine di tipo ellittico" [On the integration of linear elliptic second order partial differential equations] (PDF), Acta Pontificia Academia Scientarum, 9: 213–228, MR 0025665, Zbl 0061.22502. A research announcement disclosing the results published in (Amerio 1945) and (Amerio 1947).
  • Amerio, Luigi (1945), "Sull'integrazione dell'equazione Δ2u - u = f in un dominio di connessione qualsiasi" [On the integration of the equation Δ2u - u = f on a domain with any connection], Istituto Lombardo di Scienze e Lettere, Rendiconti, Classe di Scienze Matematiche e Naturali, Serie III (in Italian), 78 (9): 79–102, MR 0021206, Zbl 0061.23703. In this paper Amerio obtained the first theoretical results on Mauro Picone's method of solving boundary value problems for elliptic partial differential equations by the Riesz-Fischer theorem.
  • Amerio, Luigi (July 1947), "Sul Calcolo delle Soluzioni dei Problemi al Contorno per le Equazioni Lineari del Secondo Ordine" [On the calculus of solutions to boundary problems for linear second order equations], American Journal of Mathematics (in Italian), 69 (3): 447–489, doi:10.2307/2371879, JSTOR 2371879, MR 0021207, Zbl 0034.20202. A continuation of the research initiated in (Amerio 1945).
  • Amerio, Luigi; Prouse, Giovanni (1971), Almost-periodic functions and functional equations, The University Series in Higher Mathematics, New York–Cincinnati–Toronto–London–Melbourne: Van Nostrand Reinhold, pp. viii+184, ISBN 0-442-20295-4, MR 0275061, Zbl 0215.15701.
  • Amerio, Luigi (1990), Selecta, Milano: CUSL, pp. 520 (Volume I), pp. 521–1036 (Volume II). Luigi Amerio's "Selecta" in two volumes, collecting a selection of his scientific contributions.

Addresses, biographical and survey papers

edit

See also

edit

References

edit

Biographical and general references

edit

Scientific references

edit

Publications dedicated to him or to his memory

edit
  • Biroli, Marco; Mosco, Umberto; Vesentini, Edoardo, eds. (2006) [123o], "Volume dedicato alla memoria di Luigi Amerio" [Special volume dedicated to the memory of Luigi Amerio], Rendiconti della Accademia Nazionale delle Scienze Detta dei XL. Memorie di Matematica e Applicazioni, Serie V, XXIX (1), Roma: X+228, ISSN 0392-4106. A volume of the journal dedicated to the memory of Luigi Amerio, by several friends, colleagues and pupils.