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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, for Miranda's theorem in complex analysis, and for writing an influential monograph in the theory of elliptic partial differential equations. Selected works Scientific works Articles *, available at Gallica. *, available aNUMDAM *. Books *. *. *. *. * (and for the second volume). *: 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 *. This work completes a survey of with the same title, by elucidating the role of some scientists and adding a further bibliography. *. *. See also * Luigi Amerio *Schottky's theorem *Singular integral Notes References Biographical ref ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Naples
Naples (; it, Napoli ; nap, Napule ), from grc, Νεάπολις, Neápolis, lit=new city. is the regional capital of Campania and the third-largest city of Italy, after Rome and Milan, with a population of 909,048 within the city's administrative limits as of 2022. Its province-level municipality is the third-most populous metropolitan city in Italy with a population of 3,115,320 residents, and its metropolitan area stretches beyond the boundaries of the city wall for approximately 20 miles. Founded by Greeks in the first millennium BC, Naples is one of the oldest continuously inhabited urban areas in the world. In the eighth century BC, a colony known as Parthenope ( grc, Παρθενόπη) was established on the Pizzofalcone hill. In the sixth century BC, it was refounded as Neápolis. The city was an important part of Magna Graecia, played a major role in the merging of Greek and Roman society, and was a significant cultural centre under the Romans. Naples served a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pisa
Pisa ( , or ) is a city and ''comune'' in Tuscany, central Italy, straddling the Arno just before it empties into the Ligurian Sea. It is the capital city of the Province of Pisa. Although Pisa is known worldwide for its leaning tower, the city contains more than twenty other historic churches, several medieval palaces, and bridges across the Arno. Much of the city's architecture was financed from its history as one of the Italian maritime republics. The city is also home to the University of Pisa, which has a history going back to the 12th century, the Scuola Normale Superiore di Pisa, founded by Napoleon in 1810, and its offshoot, the Sant'Anna School of Advanced Studies.Scuola Superiore Sant'Anna di Pisa Information statistics History ...
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Singular Integral
In mathematics, singular integrals are central to harmonic analysis and are intimately connected with the study of partial differential equations. Broadly speaking a singular integral is an integral operator : T(f)(x) = \int K(x,y)f(y) \, dy, whose kernel function ''K'' : R''n''×R''n'' → R is singular along the diagonal ''x'' = ''y''. Specifically, the singularity is such that , ''K''(''x'', ''y''), is of size , ''x'' − ''y'', −''n'' asymptotically as , ''x'' − ''y'', → 0. Since such integrals may not in general be absolutely integrable, a rigorous definition must define them as the limit of the integral over , ''y'' − ''x'', > ε as ε → 0, but in practice this is a technicality. Usually further assumptions are required to obtain results such as their boundedness on ''L''''p''(R''n''). The Hilbert transform The archetypal singular integral operator is th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schottky's Theorem
In mathematical complex analysis, Schottky's theorem, introduced by is a quantitative version of Picard's theorem. It states that for a holomorphic function In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space . The existence of a complex derivativ ... ''f'' in the open unit disk that does not take the values 0 or 1, the value of , ''f''(''z''), can be bounded in terms of ''z'' and ''f''(0). Schottky's original theorem did not give an explicit bound for ''f''. gave some weak explicit bounds. gave a strong explicit bound, showing that if ''f'' is holomorphic in the open unit disk and does not take the values 0 or 1, then :\log , f(z), \le \frac(7+\max(0,\log , f(0), )). Several authors, such as , have given variations of Ahlfors's bound with better constants: in particular gave some bounds whose constants are in some sens ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luigi Amerio
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 . *. *. Luigi Amerio's "''Selecta''" in two vol ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rendiconti Di Matematica E Delle Sue Applicazioni
, abbreviation = Rend. Mat. Appl. , publisher = "Guido Castelnuovo" Department of Mathematics, Sapienza University of Rome and Istituto Nazionale di Alta Matematica Francesco Severi , country = Italy , frequency = Biannual , history = 1913-present , openaccess = Yes , license = , impact = , impact-year = , website = http://www1.mat.uniroma1.it/ricerca/rendiconti/ , link2 = http://www1.mat.uniroma1.it/ricerca/rendiconti/ , link2-name = Online archive , JSTOR = , OCLC = 499332312 , LCCN = , CODEN = , ISSN = 1120-7183 , eISSN = 2532-3350 The ''Rendiconti di Matematica e delle sue Applicazioni'' (''Reports on Mathematics and its applications'') is an open access peer-reviewed mathematics journal, jointly published by the "Guido Castelnuovo" Department of Mathematics of the Sapienza University of Rome and by the Istituto Nazionale di Alta Matematica Francesco Severi,See and . established in 1913., . The Journal started his publications a year after, in 1914, and h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Firenze
Florence ( ; it, Firenze ) is a city in Central Italy and the capital city of the Tuscany region. It is the most populated city in Tuscany, with 383,083 inhabitants in 2016, and over 1,520,000 in its metropolitan area.Bilancio demografico anno 2013, datISTAT/ref> Florence was a centre of medieval European trade and finance and one of the wealthiest cities of that era. It is considered by many academics to have been the birthplace of the Renaissance, becoming a major artistic, cultural, commercial, political, economic and financial center. During this time, Florence rose to a position of enormous influence in Italy, Europe, and beyond. Its turbulent political history includes periods of rule by the powerful Medici family and numerous religious and republican revolutions. From 1865 to 1871 the city served as the capital of the Kingdom of Italy (established in 1861). The Florentine dialect forms the base of Standard Italian and it became the language of culture throughout Ital ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unione Matematica Italiana
The Italian Mathematical Union ( it, Unione Matematica Italiana) is a mathematical society based in Italy. It was founded on December 7, 1922 by Luigi Bianchi, Vito Volterra, and most notably, Salvatore Pincherle, who became the Union's first President. History Salvatore Pincherle, professor at the University of Bologna, sent on 31 March 1922 a letter to all Italian mathematicians in which he planned the establishment of a national mathematical society. The creation was inspired by similar initiatives in other countries, such as the Société mathématique de France (1872), the Deutsche Mathematiker-Vereinigung (1891), the American Mathematical Society (1891) and, above all, the International Mathematical Union (1920). The most important italian mathematicians of the time - among all Luigi Bianchi and Vito Volterra - encouraged Pincherle's initiative also by personally sending articles for the future Bulletin; overall, about 180 mathematicians replied to Pincherle's letter. On D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bologna
Bologna (, , ; egl, label= Emilian, Bulåggna ; lat, Bononia) is the capital and largest city of the Emilia-Romagna region in Northern Italy. It is the seventh most populous city in Italy with about 400,000 inhabitants and 150 different nationalities. Its metropolitan area is home to more than 1,000,000 people. It is known as the Fat City for its rich cuisine, and the Red City for its Spanish-style red tiled rooftops and, more recently, its leftist politics. It is also called the Learned City because it is home to the oldest university in the world. Originally Etruscan, the city has been an important urban center for centuries, first under the Etruscans (who called it ''Felsina''), then under the Celts as ''Bona'', later under the Romans (''Bonōnia''), then again in the Middle Ages, as a free municipality and later ''signoria'', when it was among the largest European cities by population. Famous for its towers, churches and lengthy porticoes, Bologna has a well-preserved ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete
''Ergebnisse der Mathematik und ihrer Grenzgebiete''/''A Series of Modern Surveys in Mathematics'' is a series of scholarly monographs published by Springer Science+Business Media. The title literally means "Results in mathematics and related areas". Most of the books were published in German or English, but there were a few in French and Italian. There have been several sequences, or ''Folge'': the original series, neue Folge, and 3.Folge. Some of the most significant mathematical monographs of 20th century appeared in this series. Original series The series started in 1932 with publication of ''Knotentheorie'' by Kurt Reidemeister as "Band 1" (English: volume 1). There seems to have been double numeration in this sequence. Neue Folge This sequence started in 1950 with the publication of ''Transfinite Zahlen'' by Heinz Bachmann. The volumes are consecutively numbered, designated as either "Band" or "Heft". A total of 100 volumes was published, often in multiple editions, but pre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
