Beppo Levi [SEP] country of citizenship
Beppo Levi
Beppo Levi (14 May 1875 – 18 August 1961) was an Italian mathematician. He published high-level academic articles and books, not only on mathematics, but also on physics, history, philosophy, and pedagogy. Levi was a member of the Bologna Academy of Sciences and of the Accademia dei Lincei.
Early years.
Beppo Levi was born on May 14, 1875, in Turin, Italy, and he was an older brother of Eugenio Elia Levi. He obtained his Ph.D. in mathematics
Beppo-Levi space
In functional analysis, a branch of mathematics, a Beppo Levi space, named after Beppo Levi, is a certain space of generalized functions.
In the following, is the space of distributions, is the space of tempered distributions in , the differentiation operator with a multi-index, and formula_1 is the Fourier transform of .
The Beppo Levi space is
where denotes the Sobolev semi-norm.
An alternative definition is as follows: let such that
and define:
Then