Lars Inge Hedberg

Lars Hedberg 1992

Lars Inge Hedberg (* 1935 ; † 2005 ) was a Swedish mathematician who dealt with analysis .

Hedberg received his doctorate in 1965 under Lennart Carleson at Uppsala University (Generators in Certain Function Algebras). As a post-doctoral student, he was at the Massachusetts Institute of Technology and Berkeley in 1967/68 . From 1983 he was a professor at Linköping University , where he retired in 2000.

In the 1970s he was visiting scholar and professor in the USA on several occasions and was also visiting professor in France. He learned Russian in Uppsala as early as the 1950s and worked with Soviet scientists in the 1960s, and his contacts, especially in Saint Petersburg , meant that important Russian scientists came to Linköping after the end of the Soviet Union. After their independence, he worked on the development of mathematics in Estonia and Lithuania .

Hedberg dealt with nonlinear potential theory . In 1981 he solved the problem of spectral synthesis in function spaces ( Sobolew spaces ), which consists in approximating a function f from these spaces by functions that are Fourier transforms of measures whose carriers are in the spectrum of f (i.e. the carrier of the Fourier transform of f) are included. He wrote a monograph about it with David R. Adams in the basic teaching series.

In 1982 he received the Wallmark Prize from the Royal Swedish Academy of Sciences . In 1995 he became an external member of the Finnish Academy of Sciences .

Fonts (selection)

• with David R. Adams : Function spaces and potential theory, Grundlehren der Mathematischen Wissenschaften 314, Springer 1996
• with Yuri Netrusov: An Axiomatic Approach to Function Spaces, Spectral Synthesis, and Luzin Approximation, Memoirs of the AMS, 2007
• Spectral synthesis in sobolev spaces, and uniqueness of solutions of the Dirichlet problem, Acta Mathematica, Volume 147, 1981, pp. 237-264
• Spectral synthesis and stability in Sobolev spaces, in: John Benedetto (Ed.), Euclidean Harmonic Analysis, Lecture Notes in Mathematics 779, Springer 1980, pp. 73-103

Web links

• Obituary by Lars Erik Andersson, Dagens Nyheter 2006 (Swedish)
• Conference in his honor in Linköping 2015

Individual evidence

1. ↑ Lars Inge Hedberg in the Mathematics Genealogy Project (English)