spectral theory

Such spaces were introduced to study spectral theory in the broad sense.

Another proof is based on the spectral theory from which part of the arguments are borrowed.

It is possible to generalize spectral theory to such algebras.

Some applications have required the development of p-adic functional analysis and spectral theory.

See also spectral theory for a historical perspective.

There have been three main ways to formulate spectral theory, all of which retain their usefulness.

He wrote five papers directly related to spectral theory of operators which Hilbert was developing.

His research concerns differential equations, scattering theory, and spectral theory.

Stone was led to it by his study of the spectral theory of operators on a Hilbert space.

Fredholm theory - part of spectral theory studying integral equations.

This theory grew out of his attempts to understand more deeply his results on spectral theory.

He established the spectral theory for bounded symmetric operators in a form very much like that now regarded as standard.

The spectral theory of compact operators was first developed by F. Riesz.

He did this by creating a spectral theory for unbounded operators that are self-adjoint."

It is now a branch (more accurately, several related areas) of the field of functional analysis, connected with spectral theory.

John von Neumann discussed the application of spectral theory to Born's rule in his 1932 book.

Unital Banach algebras over the complex field provide a general setting to develop spectral theory.

The later discovery in quantum mechanics that spectral theory could explain features of atomic spectra was therefore fortuitous.

The Fourier transform on the real line is in one sense the spectral theory of differentiation qua differential operator.

His contributions to mathematics are in the fields of harmonic analysis, ergodic theory and spectral theory.

This point of view has been important in spectral theory, in particular in its application to ordinary differential equations.

He is considered as one of the founders of the modern Multiparameter Spectral Theory.

It also arises in the spectral theory of random matrices and in multidimensional Bayesian analysis.

The spectral theory of compact operators then follows, and it is due to Frigyes Riesz (1918).

Answering such questions is the realm of spectral theory and requires considerable background in functional analysis and matrix algebra.