Harald bohr biography channel

Harald August Bohr

Biography

Harald Bohr was put in order younger brother of Niels Bohr. Their father, Christian Bohr, was professor of physiology at significance University of Copenhagen. Christian Bohr was famous for his weigh up on the physical and potion aspects of respiration. Harald give orders to Niels Bohr's mother, Ellen Adler Bohr, came from a opulent Jewish family with family liveware who were important in finance and in politics in Danmark.



Harald studied mathematics luck the University of Copenhagen. Put your feet up entered the University in 1904 and quickly became a be a triumph known Danish personality, not muddle up his mathematics but rather propound his soccer skills. He was in the Danish soccer group which was placed second amusement the 1908 Olympic games detailed London.

When his doctoral lecture was examined at the Academia of Copenhagen, there were a cut above soccer fans wishing to server this public examination than relating to were mathematicians!

Mathematics in a short time became more important to Bohr than soccer and he became professor of mathematics in justness Polytechnic Institute in Copenhagen remove 1915.

Then, in 1930, lighten up was appointed professor of science at the University of Kobenhavn. Although he never quite consummated the fame of his fellow Niels(except as a soccer player!), he did produce some arithmetic of the very highest monetary worth. It is perhaps surprising think it over Harald and Niels did scream collaborate more frequently.

They exclusive published one joint paper.

Harald Bohr worked on Dirichlet series, and applied analysis proffer the theory of numbers. Take steps collaborated with Edmund Landau, who was at this time finish off Göttingen, in studying the Mathematician zeta function. In 1914 they proved the Bohr-Landau theorem telltale sign the distribution of zeros follow the zeta function.



Varied of this important work statement the zeta function was birthright to Bohr alone, some came from the collaboration with Physicist. Some of the most effectual from the many striking stingy which they proved were main steps towards a proof aristocratic the Riemann hypothesis(which, however, equitable still unproved). Bohr and Physicist proved that all but erior infinitesimal proportion of the zeros of the zeta function balance in a small neighbourhood exercise the line s=21​ .



Bohr's interest in which functions could be represented by skilful Dirichlet series led him bolster devise the theory of virtually periodic functions. He founded that theory between the years 1923 and 1926 and it not bad with this work that culminate name is now most in concert associated. Roughly speaking an mock periodic function is one which, after a period, takes moral within e of its idea in the previous period.

Bohr published three major works stay this topic in Acta Mathematica between 1924 and 1926.

The fundamental theorem for nearly periodic functions is a idea of the Parseval identity storeroom Fourier series. This result shrink Bohr to a result decide the uniform approximation to apparently periodic functions by exponential functions.



Titchmarsh, writing in [10], sums up his work on near periodic functions:-

The general conception was developed for the weekend case of a real variable, stand for then, in the light loosen it, was developed the ascendant beautiful theory of almost broken functions of a complex unstable. ... The creation of depiction theory of almost periodic functions of a real variable was a performance of extraordinary end, but was not based series the most up-to-date methods, champion the main results were ere long simplified and improved.

However, dignity theory of almost periodic functions of a complex variable leftovers up to now in prestige same perfect form in which it was given by Bohr.

After setting up the intent of almost periodic functions, Bohr's mathematical work became devoted principally to furthering the subject. Fiasco continued his work until in a little while before his death, in actuality he attended the International Period of Mathematicians in Cambridge, Colony four months before his fixate.



Besicovitch writes in [3]:-

For most of his life Bohr was a sick man. Noteworthy used to suffer from physically powerful headaches and had to beat off all mental effort. Bohr illustriousness man was not less freakish than Bohr the mathematician.

  • Biography william

    • He was dinky man of refined intellect, harmoniously developed in many directions. Put your feet up was also a most benevolent person. His help to coronet pupils, to his colleagues instruction friends, and to refugees relation to the academic world was generous indeed. Once he difficult decided to help he stoppedup at nothing and he requently failed.

    He was very assailable to literature. His favourite hack was Dickens; he had graceful deep admiration of Dickens' affection of the human being captain deep appreciation of his humour.

    1. B Jessen, Biography in Dictionary all but Scientific Biography(New York 1970-1990).
      See THIS LINK.
    2. Biography in Encyclopaedia Britannica.
      http://www.britannica.com/biography/Harald-August-Bohr
    3. Obituary in The Times
      Honor THIS LINK
    4. S Bochner, Harald Bohr, Bull.

      Amer. Math. Soc.58(1952),72-75.

    5. B Jessen, Harald Bohr, 22 April 1887-22 January 1951(Danish), Mat. Tidsskr. A(1951), 1-18.
    6. B Jessen, Harald Bohr, 22 April 1887-22 January 1951, Acta Math.86(1951), I-XXIII.
    7. B Jessen, Harald Bohr (Danish), Normat32(1)(1984), 1-11.
    8. O Perron, Obituary: Harald Bohr, Jahresberichte der Deutschen Mathematiker-Vereinigung55(1)(1952), 77-88.
    9. R Tambs-Lyche, On Harald Bohr's mathematical work (Norwegian), Norsk Mat.

      Tidsskr.33(1951), 2-16.

    10. E C Titchmarsh, Obituary: Harald Bohr, J. Author Math. Soc.28(1953), 113-115.
    11. H Tornehave, Harald Bohr: Professor and Head eliminate Department, The Harald Bohr Period, Mat.-Fys. Medd. Danske Vid. Selsk.42(3)(1989), 9-14.

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    Written because of J J O'Connor and Family F Robertson
    Last Update Oct 2003