Luigi Amerio Explained

Luigi Amerio
Native Name Lang:	Italian
Birth Date:	15 August 1912
Birth Place:	Padova
Death Place:	Milan
Nationality:	Italian
Fields:	Almost periodic functions Laplace transform Elliptic partial differential equations Hyperbolic partial differential equationss
Workplaces:	University of Genova Polytechnic University of Milan
Alma Mater:	Polytechnic University of Milan
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Doctoral Advisor:	Mauro Picone

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.

Works

A selection of Luigi Amerio's scientific papers is published in the two volumes of his "Selecta" : 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 .

• . In this work, Luigi Amerio proves an important theorem on Laplace transform.
• . A research announcement disclosing the results published in and .
• . 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.
• . A continuation of the research initiated in .
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• . Luigi Amerio's "Selecta" in two volumes, collecting a selection of his scientific contributions.

Addresses, biographical and survey papers

• . An ample survey on the research results in mathematical analysis, including the theory of integral equations and the theory of ordinary and partial differential equations, obtained by Italian mathematicians during the Second World War, published by the Pontificial Academy of Sciences.
• . The brief "participating address" presented at the congress by on by Luigi Amerio on behalf of the Accademia Nazionale delle Scienze detta dei XL and of the Istituto Lombardo di Scienze e Lettere.
• . (English: Mauro Picone and the Institute for Calculus Applications) A survey paper on the contribution of Mauro Picone and his school to applied mathematics through the foundation and the direction of the "Istituto per le Applicazioni del Calcolo".
• . The "Address" of Amerio at the meeting "Ricordo di Gaetano Fichera" (English: Remembrance of Gaetano Fichera) held in Rome at the Accademia Nazionale dei Lincei on 8 February 1997.

See also

• Gaetano Fichera
• Analytic continuation
• Boundary value problem

References

Biographical and general references

• . A volume of the journal dedicated to Luigi Amerio.
• . The transcription of an ample interview with Luigi Amerio by Claudio Citrini, one of Amerio's pupils and collaborators.
• . "Luigi Amerio, master in science and life" is the commemorative speech pronounced by Claudio Citrini, on the occasion of a meeting dedicated to his memory.
• . A biographical paper written by Giovanni Prouse, pupil and collaborator of Amerio.
• . The biographical and bibliographical entry (updated up to 1976) on Luigi Amerio, published under the auspices of the Accademia dei Lincei in a book collecting many profiles of its living members up to 1976.

Scientific references

• . An ample survey paper on results on the solutions of linear integral and partial differential equation obtained by the research team of Mauro Picone at the Istituto Nazionale per le Applicazioni del Calcolo using the methods of functional analysis.
• . A survey on research results in complex analysis, including the theory of functions of several complex variables and the theory of analytic functionals, obtained by Italian mathematicians during the Second World War, published by the Pontificial Academy of Sciences.
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Publications dedicated to him or to his memory

• . A volume of the journal dedicated to the memory of Luigi Amerio, by several friends, colleagues and pupils.