These are now, ostensibly, two different definitions for the functional determinant, one coming from quantum field theory and one coming from spectral theory.
22.
For example, the spectral theory of compact operators on Banach spaces takes a form that is very similar to the Jordan canonical form of matrices.
23.
The subject is closely linked to spectral theory, since for a diagonal matrix or multiplication operator, it is rather clear what the definitions should be.
24.
Yadrenko developed the spectral theory of homogeneous and isotropic random fields in Markov random fields, which represented a new direction in the theory of random fields.
25.
He completed his Ph . D . in 1954 under Paul Halmos; his thesis was titled " Spectral Theory for Operations on Banach Spaces ".
26.
The later discovery in quantum mechanics that spectral theory could explain features of atomic spectra was therefore fortuitous, rather than being an object of Hilbert's spectral theory.
27.
The later discovery in quantum mechanics that spectral theory could explain features of atomic spectra was therefore fortuitous, rather than being an object of Hilbert's spectral theory.
28.
There are applications to mean values involving the Riemann zeta function, primes in short intervals, primes in arithmetic progressions, the spectral theory of automorphic functions and related topics.
29.
"' Artur Avila Cordeiro de Melo "'( born 29 June 1979 ) is a Brazilian and French mathematician working primarily on dynamical systems and spectral theory.
30.
In the latter case, the Gelfand Naimark representation theorem is one avenue in the development of spectral theory for normal operators, and generalizes the notion of diagonalizing a normal matrix.
