Torsten Carleman

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Torsten Carleman (8 July 1892 – 11 January 1949) was a prominent Swedish mathematician known for his contributions to analysis and mathematical physics. He is particularly noted for the Carleman inequality, the Carleman kernel, and the Carleman matrix.

Early Life and Education

Torsten Carleman was born in Västra Ed, Sweden. He studied at Uppsala University, where he completed his undergraduate studies in mathematics. He later pursued his doctoral studies under the supervision of Erik Ivar Fredholm and received his Ph.D. in 1916.

Academic Career

After obtaining his doctorate, Carleman held various academic positions. He became a professor at the Stockholm University in 1923, where he worked until his death in 1949. During his tenure, he made significant contributions to the field of mathematics, particularly in the areas of Fourier analysis, partial differential equations, and potential theory.

Contributions to Mathematics

Carleman's work has had a lasting impact on several areas of mathematics:

• Carleman Inequality: This is an important result in the theory of Fourier series and harmonic analysis. It provides bounds for the norms of certain functions and has applications in various areas of mathematical analysis.
• Carleman Kernel: This kernel is used in the study of integral equations and has applications in potential theory.
• Carleman Matrix: This matrix is used in the study of linear algebra and operator theory.

Legacy

Carleman's work continues to influence modern mathematics. His contributions to analysis and mathematical physics are still studied and applied in various fields. He is remembered as one of the leading mathematicians of his time.

Personal Life

Torsten Carleman was known for his dedication to mathematics and his students. He was married and had two children. He passed away in Stockholm in 1949.

See Also

• Carleman inequality
• Carleman kernel
• Carleman matrix
• Fourier analysis
• Potential theory
• Partial differential equations