In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation...

In mathematics, a holomorphic discrete series representation is a discrete series representation of a semisimple Lie group that can be represented in a...

In mathematics, a quaternionic discrete series representation is a discrete series representation of a semisimple Lie group G associated with a quaternionic...

geometry Discrete geometry Continuous series representation Discrete series representation Discretization Interpolation Discrete measure Discrete space Ali...

definition of a discrete series representation. If G is a linear semisimple Lie group with a maximal compact subgroup K, an admissible representation ρ of G is...

Induced representation Peter–Weyl theorem Spherical harmonic Casimir operator Hecke operator Stone–von Neumann theorem Discrete series representation Tempered...

all representations relevant to decomposing the regular representation. The discrete series consists of 'atoms' of the unitary dual (points carrying...

useful as a compact representation of a signal. For example, JPEG compression uses a variant of the Fourier transformation (discrete cosine transform) of...

complementary to Eisenstein series, in a discrete spectrum/continuous spectrum, or discrete series representation/induced representation distinction typical in...

polysemy", Discrete Mathematics, 282 (1–3): 251–255, doi:10.1016/j.disc.2003.11.014, MR 2059526 Tanenbaum, Paul J. (1996), "Simultaneous representation of interval...

and functional analysis, a discrete wavelet transform (DWT) is any wavelet transform for which the wavelets are discretely sampled. As with other wavelet...

trivial representation (the only finite-dimensional representation in this list). The two limit of discrete series representations D+0, D−0. The discrete series...

frequency domain. A discrete frequency domain is a frequency domain that is discrete rather than continuous. For example, the discrete Fourier transform...

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...

Discrete series representation Principal series representation Borel–Weil–Bott theorem Weyl's character formula Algebra representation Representation...

representation in frequency. The frequency representation is found by using the Fourier transform for functions on the real line or by Fourier series...

An irreducible discrete series representation if θ has order greater than 2. The unipotent representations are the trivial representation and the Steinberg...

A fast Fourier transform (FFT) is an algorithm that computes the Discrete Fourier Transform (DFT) of a sequence, or its inverse (IDFT). Fourier analysis...

Selberg trace formula Langlands program Kirillov orbit theory Discrete series representation Zonal spherical function "Noncommutative harmonic analysis:...

mathematics, a wavelet series is a representation of a square-integrable (real- or complex-valued) function by a certain orthonormal series generated by a wavelet...

equally spaced points in time. Thus it is a sequence of discrete-time data. Examples of time series are heights of ocean tides, counts of sunspots, and the...

theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass...

invertible transform. For the discrete wavelet transform, one needs at least the condition that the wavelet series is a representation of the identity in the...

discrete-time signal, which is a sequence of real or complex numbers, into a complex valued frequency-domain (the z-domain or z-plane) representation...

in mass spectrometry. Spectrum is also used to refer to a graphical representation of the signal as a function of the dependent variable. In Latin, spectrum...

numbers (or complex vector space) which is invariant under the action of a discrete subgroup Γ ⊂ G {\displaystyle \Gamma \subset G} of the topological group...

that have both continuous and discrete parts. Depending on the assumptions made, the state-space model representation can assume the following forms:...

cell of a grid is subject to a recursive partition, resulting in a "series of discrete global grids with progressively finer resolution", forming a hierarchical...

In computer science and discrete mathematics, an inversion in a sequence is a pair of elements that are out of their natural order. Let π {\displaystyle...