Примеры использования Spectral theory на Английском языке и их переводы на Русский язык
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Spectral theory of partial differential equations.
Introduction to the Spectral Theory of Differential Operators.
From this point of view,operator algebras can be regarded as a generalization of spectral theory of a single operator.
Yadrenko developed the spectral theory of homogeneous and isotropic random fields in Euclidean, Hilbert, and Lobachevskii spaces.
Ilyin made a fundamental contribution to the spectral theory of nonself-adjoint operators.
The name spectral theory was introduced by David Hilbert in his original formulation of Hilbert space theory, which was cast in terms of quadratic forms in infinitely many variables.
John von Neumann discussed the application of spectral theory to Born's rule in his 1932 book.
Victor Borisovich Lidskii(Russian: Виктор Борисович Лидский, 4 May 1924, Odessa- 29 July 2008, Moscow) was a Soviet andUkrainian mathematician who worked in spectral theory, operator theory, and shell theory. .
Stone was led to it by his study of the spectral theory of operators on a Hilbert space.
Works are devoted to the qualitative andstructural characteristics of investments weighted spaces of differentiable functions and their applications in the spectral theory of differential operators.
He made notable contributions to geophysics and the spectral theory of many-electron atoms, in particular the Helium atom.
He developed the spectral theory of integral operators with Carleman kernels, that is, kernels K(x, y) such that K(y, x) K(x, y) for almost every(x, y), and∫| K( x, y)| 2 d y<∞{\displaystyle\int|K(x, y)|^{2}dy.
There have been three main ways to formulate spectral theory, all of which retain their usefulness.
In 2002 she defended her thesis for the degree of candidate of physical- mathematical work in the specialty 010101- Mathematical analysis on the topic"" Quality andstructural characteristics of weighted Sobolev spaces and their applications in the spectral theory of differential operators.
Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations.
His work is in various areas of mathematical analysis such as the geometry of Banach spaces, harmonic analysis, analytic number theory, combinatorics, ergodic theory, partial differential equations, spectral theory and recently also in group theory. .
The Fourier transform on the real line is in one sense the spectral theory of differentiation qua differential operator.
Iosevich& Pedersen(1998) and Lagarias, Reeds& Wang(2000)found close connections between cube tilings and the spectral theory of square-integrable functions on the cube.
After Hilbert's initial formulation, the later development of abstract Hilbert space and the spectral theory of a single normal operator on it did very much go in parallel with the requirements of physics; particularly in the hands of von Neumann.
The cusp form idea came out of the cusps on modular curves butalso had a meaning visible in spectral theory as'discrete spectrum', contrasted with the'continuous spectrum' from Eisenstein series.
Mathematical problems of modern physics, complex analysis and its applications,asymptotic problems of differential equations, spectral theory of operators including inverse problems and their applications, geometry on large and differential geometry, functional analysis, theory of representations and operator algebras including ergodic aspects.
Wavelet theory as p-adic spectral analysis.
Spectral graph theory is also concerned with graph parameters that are defined via multiplicities of eigenvalues of matrices associated to the graph, such as the Colin de Verdière number.
Especially, it studies the spectrum of the adjacency matrix, orthe Laplacian matrix of a graph this part of algebraic graph theory is also called spectral graph theory.
At the EUSN conference in Paris, someone in the audience said that they had heard a concept similar to the one we use in one of Sachs's papers on spectral graph theory.
In mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors of matrices associated with the graph, such as its adjacency matrix or Laplacian matrix.
The first scientifically based theory originated in the New Era- the theory of spectral analysis of I.
Analytical theory of motion of GLONASS satellites, Delaunay method, spectral analysis, Stokes coefficients, lunar-solar perturbations.
In theoretical astrophysics,there can be a sphere of ionized hydrogen(H II) around a young star of the spectral classes O or B. The theory was derived by Bengt Strömgren in 1937 and later named Strömgren sphere after him.
Representation theory for Banach algebras, Abelian groups, and semi- groups in the spectral analysis of linear operators.