Examples of using Spectral theory in English and their translations into Danish
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Spectral theory and applications.
Spectral teori og applikationer.He wrote five papers directly related to Hilbert 's spectral theory.
Han skrev fem papirer har direkte tilknytning til Hilbert's spektrale teori.Spectral theory of undirected graphs.
Spektral teori om ikke-styrede grafer.Fredholm is best remembered for his work on integral equations and spectral theory.
Fredholm er bedst husket for hans arbejde med integreret ligninger og spektral teori.An examples of a paper by Bishop on this topic is Spectral theory for operators on a Banach space 1957.
Et eksempler på et papir med biskop om dette emne er Spectral teori for operatørerne på et Banach rum 1957.His interests at this time moved to functional analysis and particularly spectral theory.
Hans interesser på dette tidspunkt flyttet til funktionelle analyser og især spektral teori.Returning to Chicago in 1952 Bishop submitted his doctoral thesis Spectral Theory for Operations on Banach Spaces in 1954. Halmos said.
Vende tilbage til Chicago i 1952 Bishop indgivet sin ph.d. -afhandling Spectral Theory for operationer om Banachrum i 1954. Halmos sagde.He made this study while attempting to understand more deeply the basics underlying his results on spectral theory.
Han gjorde denne undersøgelse under forsøget på at forstå mere dybt de grundlæggende underliggende hans resultater på spektral teori.At Frankfurt, Hellinger had continued his mathematical work on the spectral theory of Jacobi forms and continued fractions.
På Frankfurt, Hellinger fortsat havde hans matematiske arbejde på spektral teori om Jacobi former og fortsatte fraktioner.In 1932 he proved results on spectral theory, arising from group theoretical methods in quantum mechanics, which had been conjectured by Weyl.
I 1932, han har vist resultater på spektral teori, der hidrører fra gruppe teoretiske metoder i Kvantemekanik, som var blevet conjectured ved Weyl.During this time he worked on topics such as Banach spaces, the moment problem,integral equations and matrices, and on spectral theory for linear operators.
I denne periode arbejdede han på emner som Banachrum, det øjeblik problem,integrerende ligninger og tabeller, og på spektral teori for lineære operatører.International success came, but his spectral theory was overshadowed by the abstract theory and he had also bad luck with his mean ergodic theorem.
International succes kom, men hans spektral teori blev overskygget af abstrakt Led him to lay the foundations of the theory of operators in a space with an indefinite metric, andto introduce new ideas in the spectral theory of operators.
Førte ham til at lægge grundlaget for He is well known for his original results in the spectral theory of differential equations, including the discovery of new methods for the study of the asymptotic behaviour of spectral functions and the convergence expansions in terms of eigenfunctions.
Han er kendt for sin oprindelige resultater i spektral teori af differentialligninger, herunder opdagelsen af nye metoder til undersøgelse af den asymptotiske opførsel spektrale funktioner og konvergensen udvidelser i form af eigenfunctions.He defended his doctorate in 1921 at Stockholm Högskola andwas opposed by Erik Ivar Fredholm the mathematical physicist best known for his work on integral equations and spectral theory.
Han forsvarede sin doktorafhandling i 1921 i Stockholm högskola ogvar modstander af Erik Ivar Fredholm den matematiske fysiker bedst kendt for hans arbejde med integreret ligninger og spektral teori.From the beginning of the 1920s Carleman was considered the best mathematician in Sweden.International success came, but his spectral theory was overshadowed by the abstract theory and he had also bad luck with his mean ergodic theorem.
Fra begyndelsen af 1920 s Carleman blev betragtet som den bedste matematiker i Sverige.International succes kom, men hans spektral teori blev overskygget af abstrakt He was led to study a number of new problems which( and):… led him to lay the foundations of the theory of operators in a space with an indefinite metric, andto introduce new ideas in the spectral theory of operators.
Han blev ført til at studere en række nye problemer, som(og):… førte ham til at lægge grundlaget for To place Alain Connes's fundamental and pioneering contributions to operator algebras in context, recall that von Neumann and Murray in the 1930s and 1940s were led by,among other things, the spectral theory of operators on Hilbert space, and by considerations of constructing mathematical models for quantum mechanical systems, to introduce what they called rings of operators- since renamed von Neumann algebras.
At placere Alain Connes's grundlæggende og banebrydende bidrag til operatøren algebraer i forbindelse minde om, at von Neumann og Murray i 1930'erne og1940 er blevet ledet af blandt andet den spektrale teori om operatørerne på Hilbert rum, og ved overvejelser om at opbygge matematiske modeller for quantum mekaniske systemer, til at indføre, hvad de kaldes ringe af operatører- siden omdøbt von Neumann algebraer.He was awarded his doctorate in physics in 1951 for a thesis entitled On the convergence of the perturbation method. However he had published many papers by the time the doctorate was awarded including work on pair creation by gamma rays,the motion of an object through a fluid and results on the spectral theory of operators arising in quantum mechanics.
Han fik sin doktorgrad i fysik i 1951 for en afhandling med titlen om konvergensen mellem forstyrrelse metode. Men han havde offentliggjort mange papirer fra det tidspunkt, hvor doktorgrad blev tildelt herunder arbejdet med pair oprettelsen af gammastråler,bevægelsen af et objekt via en flydende og resultater på spektral teori af operatører opstår i Kvantemekanik.However he had published many papers by the time the doctorate was awarded including work on pair creation by gamma rays,the motion of an object through a fluid and results on the spectral theory of operators arising in quantum mechanics. On the convergence of the perturbation method.
Men han havde offentliggjort mange papirer fra det tidspunkt, hvor doktorgrad blev tildelt herunder arbejdet med pair oprettelsen af gammastråler,bevægelsen af et objekt via en flydende og resultater på spektral teori af operatører opstår i Kvantemekanik. om konvergensen mellem forstyrrelse metode.However he had published many papers by the time the doctorate was awarded including work on pair creation by gamma rays,the motion of an object through a fluid and results on the spectral theory of operators arising in quantum mechanics.
Men han havde offentliggjort mange papirer fra det tidspunkt, hvor doktorgrad blev tildelt herunder arbejdet med pair oprettelsen af gammastråler,bevægelsen af et objekt via en flydende og resultater på spektral teori af operatører opstår i Kvantemekanik.Connes's work is on operator algebras and it is put in contect by Moore: To place Alain Connes's fundamental and pioneering contributions to operator algebras in context, recall that von Neumann and Murray in the 1930s and 1940s were led by,among other things, the spectral theory of operators on Hilbert space, and by considerations of constructing mathematical models for quantum mechanical systems, to introduce what they called rings of operators- since renamed von Neumann algebras.
Connes's arbejde er på operatøren algebraer og det er bragt i contect ved Moore: At placere Alain Connes's grundlæggende og banebrydende bidrag til operatøren algebraer i forbindelse minde om, at von Neumann og Murray i 1930'erne og1940 er blevet ledet af blandt andet den spektrale teori om operatørerne på Hilbert rum, og ved overvejelser om at opbygge matematiske modeller for quantum mekaniske systemer, til at indføre, hvad de kaldes ringe af operatører- siden omdøbt von Neumann algebraer.I think every reader of his cited paper, like myself, will have left a considerable amount of pleasant excitement, on seeing the wonderful harmony of the whole structure of the calculus to which the theory leads and on understanding how essential an advance its application may mean to manyparts of higher analysis, such as spectral theory, potential theory, and indeed the whole theory of linear partial differential equations.
Jeg tror, alle læser af hans citeret papir, som jeg vil have efterladt en betydelig mængde behagelig spænding på at se den vidunderlige harmoni af hele strukturen i calculus, som He studied a wide variety of applications of mathematics such as dynamical systems in the theory of homogeneous cosmological models,the theory of solitons, the spectral theory of linear operators, quantum field theory and string theory. .
Han har studeret en bred vifte af anvendelser af matematik såsom dynamiske systemer i This is the theory of the behaviour of the spectral properties of an operator under small changes in the operator.
For this work on spectral sequences and his work developing complex variable theory in terms of sheaves, Serre was awarded a Fields Medal at the International Congress of Mathematicians in 1954.
Til dette arbejde med spektrale sekvenser og hans arbejde at udvikle komplekse variabel teori i form af neg, Serre blev tildelt en Fields medaljen på den internationale kongres af Matematikere i 1954.He also made fundamental contributions to inverse scattering theory by showing the connection between scattering data and spectral data, thus relating the famous Gelfand-Levitan method to the inverse scattering problem for the Schrödinger equation.
Han har også gjort grundlæggende bidrag til inverse spredning teori ved at vise forbindelsen mellem spredning af data og spektrale data, og dermed om den berømte Gelfand-Levitan metode til inverse spredning problem for Schrödingers ligning.The three chapters are: Basic mathematical aspects of the theory of elasticity; Homogenization of the equations of linear elasticity; Composites andperforated materials and Spectral problems in homogenization theory.
De tre kapitler er: Grundlæggende matematiske aspekter af The quantum theory paper explained that the Stark effect, namely the splitting of the spectral lines of hydrogen by an electric field(the amount being proportional to the field strength), could be proved from the postulates of quantum theory. .
Quantum teori papir forklarede, at Stark virkning, nemlig opdelingen af spektrale linjer af brint ved et elektrisk felt(beløbet er proportional med feltstyrke), kunne bevises fra postulater kvantemekaniske At first the theory met resistance but,due to the successful work of Niels Bohr in 1913 calculating positions of spectral lines using the theory, it became generally accepted.
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