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In mathematics, precisely in the theory of functions of several complex variables, a pluriharmonic function is a real valued function which is locally the real part of a holomorphic function of several complex variables. Sometimes such a function is referred to as n-harmonic function, where n ≥ 2 is the dimension of the complex domain where the function is defined. However, in modern expositions of the theory of functions of several complex variables it is preferred to give an equivalent formulation of the concept, by defining pluriharmonic function a complex valued function whose restriction to every complex line is a harmonic function with respect to the real and imaginary part of the complex line parameter.
Mauro Picone was an Italian mathematician. He is known for the Picone identity, the Sturm-Picone comparison theorem and being the founder of the Istituto per le Applicazioni del Calcolo, presently named after him, the first applied mathematics institute ever founded. He was also an outstanding teacher of mathematical analysis: some of the best Italian mathematicians were among his pupils.
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In the theory of functions of several complex variables, Hartogs's extension theorem is a statement about the singularities of holomorphic functions of several variables. Informally, it states that the support of the singularities of such functions cannot be compact, therefore the singular set of a function of several complex variables must 'go off to infinity' in some direction. More precisely, it shows that an isolated singularity is always a removable singularity for any analytic function of n > 1 complex variables. A first version of this theorem was proved by Friedrich Hartogs, and as such it is known also as Hartogs's lemma and Hartogs's principle: in earlier Soviet literature, it is also called the Osgood–Brown theorem, acknowledging later work by Arthur Barton Brown and William Fogg Osgood. This property of holomorphic functions of several variables is also called Hartogs's phenomenon: however, the locution "Hartogs's phenomenon" is also used to identify the property of solutions of systems of partial differential or convolution equations satisfying Hartogs-type theorems.
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References
General references
- Bretti, Gabriella; Cesarano, Clemente; Germano, Bruna; Natalini, Pierpaolo; Natalini, Roberto; Spigler, Renato, eds. (2024), A two days on Approximation Theory and Applications—a Conference in honor of Paolo Emilio Ricci on his 80th Birthday, Istituto per le Applicazioni del Calcolo "Mauro Picone" , retrieved 25 May 2024
- Cialdea, Alberto; Dattoli, Giuseppe; He, Matthew Xisheng; Srivastava, Hari Mohan (2010), "Preface", in Cialdea, Alberto; Dattoli, Giuseppe; He, Matthew Xisheng; Srivastava, Hari Mohan (eds.), Advanced Special Functions and Solutions of PDEs. Proceedings of the 4th workshop on the occasion of Paolo Emilio Ricci's retirement. Hotel "Oasi di Kufra", Sabaudia (LT) May 24-28, 2009, Lecture Notes of Seminario Interdisciplinare di Matematica, vol. IX, Potenza: Dipartimento di Matematica e Informatica dell'Università degli Studi della Basilicata, pp. vii–xi.
- Di Nola, Antonio; Gielis, Johan; Grigolia, Revaz; Tavkelidze, Ilia (2017), "Introduction", in Gielis, Johan; Ricci, Paolo Emilio; Tavkhelidze, Ilia (eds.), Modeling in mathematics. Proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics, March 2015. Selected papers based on the presentations at the workshop, Tbilisi, Georgia, March 16–18, 2015, Atlantis Transactions in Geometry, vol. 2, Amsterdam: Atlantis Press, pp. ix–x, doi:10.2991/978-94-6239-261-8, ISBN 978-94-6239-261-8, MR 3823393, Zbl 1360.00092 .
- Ricci, Paolo Emilio (2017), Scheda Biografica [Biographical resume] (Curriculum Vitae) (in Italian, English, and French), Roma: Università telematica internazionale Uninettuno, p. 3, retrieved 25 May 2024.
- Ricci, Paolo Emilio (25 November 2023), Curriculum (PDF) (Curriculum Vitae) (in Italian), Roma: Sapienza University of Rome, p. 19, retrieved 25 May 2024.
- Vijñāna Parishad of India (12 May 2023), Fifth International Conference and Golden Jubilee Celebration, Vijñāna Parishad of India, retrieved 25 May 2024
{{citation}}: CS1 maint: ref duplicates default (link). - Vijñāna Parishad of India (7 April 2024), Fellows and Awards, Vijñāna Parishad of India, retrieved 25 May 2024
{{citation}}: CS1 maint: ref duplicates default (link).
Publications dedicated to him
- Cialdea, Alberto; Dattoli, Giuseppe; He, Matthew Xisheng; Srivastava, Hari Mohan, eds. (2010), Advanced Special Functions and Solutions of PDEs. Proceedings of the 4th workshop on the occasion of Paolo Emilio Ricci's retirement. Hotel "Oasi di Kufra", Sabaudia (LT) May 24-28, 2009, Lecture Notes of Seminario Interdisciplinare di Matematica, vol. IX, Potenza: Dipartimento di Matematica e Informatica dell'Università degli Studi della Basilicata, pp. xiv+203.
- Gielis, Johan; Ricci, Paolo Emilio; Tavkhelidze, Ilia, eds. (2017), Modeling in mathematics. Proceedings of the second Tbilisi-Salerno workshop on modeling in mathematics, March 2015. Selected papers based on the presentations at the workshop, Tbilisi, Georgia, March 16–18, 2015, Atlantis Transactions in Geometry, vol. 2, Amsterdam: Atlantis Press, pp. x+185, doi:10.2991/978-94-6239-261-8, ISBN 978-94-6239-261-8, MR 3823393, Zbl 1360.00092 .
