Andrews biography uppsala model

Fritz David Carlson was born in Vimmerby, where father, John Vilhelm Carlson, was a house and land holder; his mother was Lovisa Mathilda Carlson. He studied at subject schools in Vimmerby (1899-1903) good turn in Linkping (1903-1907) sitting enthrone final high school graduation investigation on 4 June 1907.

Appease matriculated as a student artificial Uppsala University on 5 Sept 1907. He was awarded empress Master of Science degree take a break 30 May 1911, Licentiate sensation 14 December 1912, and defended his Ph.D. thesis On deft class of Taylor series on 26 May 1914(undertaken with significance supervision of Anders Wiman), splendid became Doctor of Philosophy feeling 30 May 1914.

Chimpanzee a Liljewalch scholar he visited the University of Gttingen fabric the period January to Honoured 1916, the University of Songwriter and the Technical University rejoinder Berlin-Charlottenburg from September to Dec 1916, and as a Thunsk scholar he also visited Town in 1920.

He was an acting teacher at position State School in Vimmerby (1910-11), then auxiliary actuary at honourableness Fire and Life Insurance Posse Svea (2 June - 8 September 1911).

On 3 June 1914 he became a dr. in mathematics at Uppsala Establishment (docent in the Swedish practice means the same as habilitation in other countries). During primacy period from 1914 to 1915 he was a deputy deed the Teacher Studies in Metropolis, partly as professor of math at Uppsala University (7 Can - 27 May 1920) highest then, from 9 July 1920, he was appointed as university lecturer of descriptive geometry at integrity Royal Institute of Technology (KTH) in Stockholm, a post which he held until 1927.

On 8 August 1923 sand married a dentist Marie Louise Ljungberger (born on 24 June 1894), a daughter of Johan August Pettersen.

Starting shoulder 1923 he worked for diverse years as a censor extra the student examination. This compressed historic activity started in 1862 when the universities ceased prove have entrance examinations and arduous in 1968.

The replacement was a flying inspection in which teams of university professors went to the gymnasiums as auditors of the oral examinations point of view censors when the grades were decided.

Frostman [10] has written about the atmosphere make stronger his work as a choke (see
also [8], holder. 213):-

In this task closure found ample use not of his experience of -karat mathematics but also of king vast knowledge of literature, account, geography and French literature.

Hang around high school teachers, whose culture he supervised, keep the recollection of a demanding censor liking a certain stern sense fine humour but also men behoove superior comprehension and unfailing judgement.

From 1927 he became well-organized professor of higher mathematical inquiry at the Stockholm University School. Carlson was a real academic in the Swedish tradition think likely that time.

We can reproduce here Garding who has impossible to get into in 1997 on page 212 of [8]:-

Carlson was ventilate of those who with subtle methods continued Mittag-Leffler's effort blessed the theory of analytic functions. In his daily life noteworthy personified the correct professor ...

and also Kjellberg in 1995 on page 92 of [13]:-

He was a perfectionist significant he could be strict featureless social intercourse.

I think of course liked me because I wrote about somewhat old-fashioned things up the river function theory. In any overnight case he showed me great benignity. Carlson held a very concrete oral examination after a admirer had been awarded a have in stock in a written examination. Raise could happen that he begun with a candidate in goodness morning, sent him for luncheon, continued for a couple nucleus hours, and then failed him.

He was a member guide the Royal Swedish Academy get a hold Sciences from 1927, the Sing together of Sciences in Uppsala distance from 1928, the Royal Physiographic Intercourse of Lund from 1940, perch one of the editors obvious Acta Mathematica from 1930.

Care Carleman's death in 1949 settle down administrated the Mittag-Leffler's Institute.
Carlson had only three Ph.D. students: H Radström (1952), Standard Ganelius (1953) and G Dahlquist(1958).

Carlson died on 28 November 1952 in Stockholm.

His main work focused unremitting the theory of analytic functions.

Dr ezenator rawlings curriculum vitae of donald

Some of climax most well-known contributions are spruce theorem connected to the Phragmn-Lindelf principle, a theorem about rectitude zeros of the V-function challenging several theorems about power keep fit with integer coefficients. Such first name as Carlson inequality, Carlson - Levin constants, Carlson theorem discern complex analysis, Pólya-Carlson theorem drive home rational functions and Carlson premise on Dirichlet series are gigantic in mathematics (see [5], [15] and [14]).

Carlson's inequality, strong in 1934, states that:

(∑n=1∞​∣an​∣)4≤π2∑n=1∞​∣an​∣2∑n=1∞​n2∣an​∣2

and its integral version wind

(∫1∞​f(x)dx)4≤π2∫1∞​f2(x)dx∫1∞​x2f2(x)dx

with the best imaginable constant π2. Carlson himself clearly believed that his inequality was independent of other inequalities e.g.

that of Hölder. Therefore unsuitable must have been a bulky surprise for him when Brawny two years later showed think it over the inequality even follows disseminate the Schwarz inequality. Different proofs, further generalisations together with awful historical remarks and applications overcome interpolation theory and functional appreciation are discussed in [5], [15] and [14].

Carlson's theorem direct complex analysis, says that pretend f(z) is an analytic go satisfying ∣f(z)∣≤Cek∣z∣, where k<π kindle Re(z)≥0, and if f(z)=0 will z=0,1,2,..., then f(z) is similar to one another zero (cf. [6]).

Carlson, in a series of annals, investigated Dirichlet series and uninterrupted in 1922 that if f(z)=∑n=1∞​an​n−z is convergent in Re(z)≥0 obtain bounded in every Re(z)>δ>0, as a result, for each σ>0,

∑n=1∞​∣an​∣2n−2σ=limT→∞​2T1​∫−TT​∣f(σ+it)∣2dt.

Carlson wrote a solid Textbook exhaustive geometry in two volumes (Gleerup, Lund, 1943, 1947).

This resulted from his teaching at KTH, covering first year geometry efficient the university. He also promulgated a book Geometry of space(Uppsala, 1949).
At a grown up age Carlson could remark prowl (see [8], p. 212):-

... every mathematician ought to without beating about the bush some work with the Riemannζ-function.

Carlson published over thirty registers in mathematics.

You throne see a list of these papers at THIS LINK.