Carlo Miranda

Carlo Miranda (15 August 1912 – 28 May 1982) was an Italian mathematician, working on mathematical analysis, theory of elliptic partial differential equations and complex analysis: he is known for giving the first proof of the Poincaré–Miranda theorem,^[1] for Miranda's theorem in complex analysis,^[2] and for writing an influential monograph in the theory of elliptic partial differential equations.^[3]

Carlo Miranda
Born	(1912-08-15)15 August 1912 Naples
Died	28 May 1982(1982-05-28) (aged 69) Naples
Nationality	Italian
Known for	Poincaré–Miranda theorem Miranda's theorem Theory of elliptic partial differential equations
Scientific career
Fields	Mathematical analysis Complex analysis Theory of elliptic partial differential equations
Institutions	University of Genoa Polytechnic University of Turin University of Naples Federico II
Doctoral advisor	Mauro Picone

Selected works

Scientific works

Articles

• Miranda, Carlo (27 May 1935), "Un nouveau critère de normalité pour les familles de fonctions holomorphes" [A new normality criterion for families of holomorphic functions], Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French), 200: 1823, ISSN 0001-4036, JFM 61.1154.05, Zbl 0011.31102, available at Gallica.
• Miranda, Carlo (1935a), "Sur un nouveau critère de normalité pour les familles de fonctions holomorphes" [On a new normality criterion for families of holomorphic functions], Bulletin de la Société Mathématique de France (in French), 63: 185–196, doi:10.24033/bsmf.1231, ISSN 0037-9484, JFM 61.1155.01, Zbl 0013.27202, available at NUMDAM.
• Miranda, Carlo (1940), "Un'osservazione su un teorema di Brouwer" [An observation on a theorem of Brouwer], Bollettino dell'Unione Matematica Italiana, Serie 2 (in Italian), 3: 5–7, ISSN 0041-7084, JFM 66.0217.01, MR 0004775, Zbl 0024.02203.

Books

• Miranda, Carlo (1949), Problemi di esistenza in analisi funzionale [Existence problems in functional analysis], Quaderni (in Italian), vol. 3, Pisa: Litografia Tacchi on behalf of Scuola Normale Superiore, p. ii+184, MR 0037461, Zbl 0041.43401.
• Miranda, Carlo (1955), Equazioni alle derivate parziali di tipo ellittico, Ergebnisse der Mathematik und ihrer Grenzgebiete – Neue Folge (in Italian), vol. Heft 2 (1st ed.), Berlin – Göttingen – New York: Springer Verlag, pp. VIII+222, MR 0087853, Zbl 0065.08503.
• Miranda, Carlo (1970) [1955], Partial Differential Equations of Elliptic Type, Ergebnisse der Mathematik und ihrer Grenzgebiete – 2 Folge, vol. Band 2, translated by Motteler, Zane C. (2nd Revised ed.), Berlin – Heidelberg – New York: Springer Verlag, pp. XII+370, doi:10.1007/978-3-642-87773-5, ISBN 978-3-540-04804-6, MR 0284700, Zbl 0198.14101.
• Miranda, Carlo (1972), Su alcuni problemi di geometria differenziale in grande per gli ovaloidi [On some problems of differential geometry in the large concerning ovaloids], Quaderni (in Italian), Pisa: Edizioni della Normale, p. ii+123, MR 0467615, Zbl 0338.53044.
• Miranda, Carlo (1978), Istituzioni di analisi funzionale lineare [Foundations of linear functional analysis], Monografie Matematiche (in Italian), Bologna: Unione Matematica Italiana, pp. (Vol. I) VIII+596, (Vol. II) 152, Zbl 0697.46001 (and Zbl 0697.46002 for the second volume).
• Miranda, Carlo (1992), Opere scelte [Selected works] (in Italian and French), Firenze: Edizioni Cremonese (distributed by Unione Matematica Italiana), pp. XXIV+516 (vol. 1), pp. VIII+517–1066 (vol. 2), ISBN 88-7083-719-X: two volumes collecting his most important mathematical papers in their original language and typographical form, and a full list of Miranda's publications.

Commemorative, historical, and survey works

• Miranda, Carlo (July–December 1950), "Risultati concernenti la risoluzione delle equazioni funzionali lineari dovuti all'Istituto Nazionale per le Applicazioni del Calcolo" [Results regarding the solution of linear functional equations due to the National Institute for Calculus Applications], Rendiconti di Matematica e delle sue Applicazioni, 5 (in Italian), 9 (3–4): 346–353, ISSN 0034-4427, MR 0041759, Zbl 0040.35304. This work completes a survey of Fichera (1950) with the same title, by elucidating the role of some scientists and adding a further bibliography.
• Miranda, Carlo (1978), "Breve storia e prospettive future dell'istituto di matematica della facolta di scienze dell'universita di Napoli" [Brief history and future perspectives of the institute of mathematics of the faculty of science of the University of Naples], Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, Napoli, Serie IV (in Italian), 44 (1977): 7–44, ISSN 0370-3568, MR 0497758, Zbl 0384.01020.
• Miranda, Carlo (1980–1981), "Federico Cafiero", Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, Napoli, Serie IV (in Italian), 48: 9–16, ISSN 0370-3568, MR 0697874, Zbl 0512.01007.

See also

• Luigi Amerio
• Schottky's theorem
• Singular integral