Concept

Maximal compact subgroup

Related publications (21)

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Sequences with Minimal Time-Frequency Spreads

Martin Vetterli, Reza Parhizkar, Yann Barbotin

For a given time or frequency spread, one can always find continuous- time signals, which achieve the Heisenberg uncertainty principle bound. This is known, however, not to be the case for discrete-time sequences; only widely spread sequences asymptoticall ...

Ieee2013

Linear Algebraic Groups and Finite Groups of Lie Type

Donna Testerman, Gunter Malle

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisim ...

Cambridge University Press2011

Decomposing locally compact groups into simple pieces

Nicolas Monod

We present a contribution to the structure theory of locally compact groups. The emphasis is put on compactly generated locally compact groups which admit no infinite discrete quotient. It is shown that such a group possesses a characteristic cocompact sub ...

Cambridge University Press2011

Irreducibility of disconnected subgroups of exceptional algebraic groups

Soumaïa Nadia Ghandour

This dissertation is concerned with the study of irreducible embeddings of simple algebraic groups of exceptional type. It is motivated by the role of such embeddings in the study of positive dimensional closed subgroups of classical algebraic groups. The ...

EPFL2008

Extrapolation et synthèse

Christian Fiorillo

Let G a locally compact group, H a closed subgroup and 1 < p < ∞. It's well-known that the restriction of the functions from G to H is a surjective linear contraction from Ap(G) onto Ap(H). We prove, when H is amenable, that every element in Ap(H) with com ...

EPFL2007

Decorrelation over infinite domains: the encrypted CBC-MAC case

Serge Vaudenay

Decorrelation theory has recently been proposed in order to address the security of block ciphers and other cryptographic primitives over a finite domain. We show here how to extend it to infinite domains, which can be used in the message authentication co ...

2001

Decorrelation over Infinite Domains: the Encrypted CBC-MAC Case

Serge Vaudenay

2001

Decorrelation over Infinite Domains: the Encrypted CBC-MAC Case

Serge Vaudenay

2000

Wavelets on the 2-sphere and related manifolds

Pierre Vandergheynst

We present a group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of coherent states associated to square integrable group representations. The parameter space X is the product of SO(3) × R*+, ...

1999

Wavelets on the 2-Sphere: A Group-Theoretical Approach

Pierre Vandergheynst

We present a purely group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S2, based on the construction of general coherent states associated to square integrable group representations. The parameter space X of our CWT is t ...

1999