finite spectrum

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• Spectrum continuation analysis — (SCA) is a generalization of the concept of Fourier series to non periodic functions of which only a fragment has been sampled in the time domain.Recall that a Fourier series is only suitable to the analysis of periodic (or finite domain)… …   Wikipedia

• Spectrum of a C*-algebra — The spectrum of a C* algebra or dual of a C* algebra A, denoted Â, is the set of unitary equivalence classes of irreducible * representations of A. A * representation π of A on a Hilbert space H is irreducible if, and only if, there is no closed… …   Wikipedia

• Spectrum of a theory — In model theory, a branch of mathematical logic, the spectrum of a theory is given by the number of isomorphism classes of models in various cardinalities. More precisely, for any complete theory T in a language we write I(T, α) for the number of …   Wikipedia

• Spectrum (functional analysis) — In functional analysis, the concept of the spectrum of a bounded operator is a generalisation of the concept of eigenvalues for matrices. Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if… …   Wikipedia

• Spectrum (homotopy theory) — In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory. There are several different constructions of categories of spectra, all of which give the same homotopy category.Suppose we… …   Wikipedia

• Spectrum — A spectrum (plural spectra or spectrums [ [http://dictionary.reference.com/browse/spectrum Dictionary.com] . The American Heritage Dictionary of the English Language , Fourth Edition. Houghton Mifflin Company, 2004. (accessed: January 25, 2008).] …   Wikipedia

• Essential spectrum — In mathematics, the essential spectrum of a bounded operator is a certain subset of its spectrum, defined by a condition of the type that says, roughly speaking, fails badly to be invertible .The essential spectrum of self adjoint operatorsIn… …   Wikipedia

• A Spectrum of Finite Scale — Infobox Album Name = A Spectrum of Finite Scale Type = Album Artist = Man or Astro man? Background = LightBlue Released = 2001 Genre = Surf rock Length = Label = Zerotec Producer = Reviews = * All Music Rating|4|5… …   Wikipedia

• Angular spectrum method — The angular spectrum method is a technique for modeling the propagation of a wave field. This technique involves expanding a complex wave field into a summation of infinite number of plane waves. Its mathematical origins lie in the field of… …   Wikipedia

• Approximately finite dimensional C*-algebra — In C* algebras, an approximately finite dimensional, or AF, C* algebra is one that is the inductive limit of a sequence of finite dimensional C* algebras. Approximate finite dimensionality was first defined and described combinatorially by… …   Wikipedia

• Decomposition of spectrum (functional analysis) — In mathematics, especially functional analysis, the spectrum of an operator generalizes the notion of eigenvalues. Given an operator, it is sometimes useful to break up the spectrum into various parts. This article discusses a few examples of… …   Wikipedia