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searching for Haar measure 32 found (163 total)

Noncommutative harmonic analysis (471 words) [view diff] exact match in snippet view article find links to article

integral is taken. (For Pontryagin duality the Plancherel measure is some Haar measure on the dual group to G, the only issue therefore being its normalization

Maximal torus (1,734 words) [view diff] exact match in snippet view article find links to article

function on G. Then the integral over G of f with respect to the normalized Haar measure dg may be computed as follows: ∫ G f ( g ) d g = | W | − 1 ∫ T | Δ (

Langlands–Deligne local constant (720 words) [view diff] exact match in snippet view article find links to article

choice of Haar measure on the local field. Other conventions omit this parameter by fixing a choice of Haar measure: either the Haar measure that is self

Molien's formula (1,307 words) [view diff] exact match in snippet view article find links to article

degree n. If G is a compact group, the similar formula holds in terms of Haar measure. Let χ 1 , … , χ r {\displaystyle \chi _{1},\dots ,\chi _{r}} denote

Chebotarev's density theorem (2,077 words) [view diff] exact match in snippet view article find links to article

Krull topology. Since G is compact in this topology, there is a unique Haar measure μ on G. For every prime v of K not in S there is an associated Frobenius

Weingarten function (1,054 words) [view diff] exact match in snippet view article find links to article

Collins, Benoît; Śniady, Piotr (2006), "Integration with respect to the Haar measure on unitary, orthogonal and symplectic group", Communications in Mathematical

Ivan Fesenko (1,113 words) [view diff] exact match in snippet view article find links to article

fields and a volume on higher local fields. Fesenko discovered a higher Haar measure and integration on various higher local and adelic objects. He pioneered

Kazhdan–Margulis theorem (998 words) [view diff] exact match in snippet view article find links to article

cannot have arbitrarily small volume (given a normalisation for the Haar measure). For hyperbolic surfaces this is due to Siegel, and there is an explicit

Topological semigroup (222 words) [view diff] exact match in snippet view article find links to article

the underlying topology is locally compact and Hausdorff, so that the Haar measure can be definedPages displaying wikidata descriptions as a fallback Locally

Schwartz–Bruhat function (1,550 words) [view diff] exact match in snippet view article find links to article

group to tempered distributions on the dual group. Given the (additive) Haar measure on A K {\displaystyle \mathbb {A} _{K}} the Schwartz–Bruhat space S (

Complete field (683 words) [view diff] exact match in snippet view article find links to article

the underlying topology is locally compact and Hausdorff, so that the Haar measure can be definedPages displaying wikidata descriptions as a fallback Ordered

Uniformly distributed measure (249 words) [view diff] exact match in snippet view article find links to article

Christensen, Jens Peter Reus (1970). "On some measures analogous to Haar measure". Mathematica Scandinavica. 26: 103–106. ISSN 0025-5521. MR0260979 Mattila

Furstenberg boundary (558 words) [view diff] exact match in snippet view article find links to article

{\displaystyle F(g)=\int _{|z|=1}{\hat {f}}(gz)\,dm(z)} where m is the Haar measure on the boundary. This function is then harmonic in the sense that it

Topological ring (1,116 words) [view diff] exact match in snippet view article find links to article

the underlying topology is locally compact and Hausdorff, so that the Haar measure can be definedPages displaying wikidata descriptions as a fallback Ordered

Artin–Hasse exponential (1,067 words) [view diff] exact match in snippet view article find links to article

uniformly distributed in the p-adic integers with respect to the normalized Haar measure, with supporting computational evidence. The problem is still open. Dinesh

Maximal compact subgroup (1,715 words) [view diff] exact match in snippet view article find links to article

subgroup of G, then averaging the inner product over H with respect to the Haar measure gives an inner product invariant under H. The operators Ad p with p in

Locally compact field (891 words) [view diff] exact match in snippet view article find links to article

the underlying topology is locally compact and Hausdorff, so that the Haar measure can be definedPages displaying wikidata descriptions as a fallback Locally

System of imprimitivity (3,055 words) [view diff] exact match in snippet view article find links to article

measurable unitary representation is equal almost everywhere (with respect to Haar measure) to a strongly continuous unitary representation. This restriction mapping

Locally profinite group (894 words) [view diff] exact match in snippet view article find links to article

for all open compact subgroups K, and μ {\displaystyle \mu } a left Haar measure on G {\displaystyle G} . Let C c ∞ ( G ) {\displaystyle C_{c}^{\infty

Jorge M. López (966 words) [view diff] case mismatch in snippet view article find links to article

A.. He wrote the thesis Integration over Locally Compact Spaces and Haar Measure under the supervision of Prof. Larry Edison. At Reed he was active in

Partial trace (2,045 words) [view diff] exact match in snippet view article find links to article

partial trace involving integration with respect to a suitably normalized Haar measure μ over the unitary group U(W) of W. Suitably normalized means that μ

Joseph Diestel (261 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-8218-4440-3. Diestel, Joe; Spalsbury, Angela (2014). The joys of Haar measure. American Mathematical Society. ISBN 978-1-4704-0935-7. "Mathematics

Graduate Studies in Mathematics (4,466 words) [view diff] case mismatch in snippet view article find links to article

Probability, Daniel W. Stroock (2013, ISBN 978-1-4704-0907-4) 150 The Joys of Haar Measure, Joe Diestel, Angela Spalsbury (2013, ISBN 978-1-4704-0935-7) 151 Introduction

Éléments de mathématique (3,074 words) [view diff] case mismatch in snippet view article find links to article

Intégration: Chapitres 7 et 8 7 Mesure de Haar Integration II: Chapters 7-9 7 Haar Measure 8 Convolution et représentations 8 Convolution and Representations Intégration:

Compact operator on Hilbert space (4,834 words) [view diff] exact match in snippet view article find links to article

integrable measurable functions with respect to the unique-up-to-scale Haar measure on G). Consider the continuous shift action: { G × H → H ( g f ) ( x

Maass wave form (8,501 words) [view diff] no match in snippet view article find links to article

{\displaystyle G} is unimodular and since the counting measure is a Haar-measure on the discrete group Γ {\displaystyle \Gamma } , Γ {\displaystyle \Gamma

Poisson boundary (2,290 words) [view diff] exact match in snippet view article find links to article

group (with step distribution absolutely continuous with respect to the Haar measure) the Poisson boundary is equal to the Furstenberg boundary. The Poisson

Topological vector space (13,527 words) [view diff] exact match in snippet view article find links to article

the underlying topology is locally compact and Hausdorff, so that the Haar measure can be definedPages displaying wikidata descriptions as a fallback Locally

Clebsch–Gordan coefficients for SU(3) (7,674 words) [view diff] exact match in snippet view article

{\sin((k-l+q+1)\phi /2)}{\sin(\phi /2)}}\right),} and the corresponding Haar measure is μ ( S U ( 3 ) ) = 64 sin ⁡ ( ϕ 2 ) 2 sin ⁡ ( 1 2 ( θ + ϕ / 2 ) ) 2

Symmetric cone (16,607 words) [view diff] exact match in snippet view article find links to article

product on C2n obtained by averaging any inner product with respect to Haar measure on K. The Hermitian form corresponds to an orthogonal decomposition into

Valuation (geometry) (5,974 words) [view diff] exact match in snippet view article

denotes the orthogonal projection and d E {\displaystyle dE} is the Haar measure, defines a smooth even valuation of degree i . {\displaystyle i.} It

Singular integral operators of convolution type (11,821 words) [view diff] exact match in snippet view article find links to article

dimension and its truncations. In fact if G = SO(n) with normalised Haar measure and H(1) is the Hilbert transform in the first coordinate, then Rj=∫Gφ(g)gH(1)g−1dg