The Schwartz algebra of an affine Hecke algebra

Identifieur interne : 000154 ( France/Analysis ); précédent : 000153; suivant : 000155

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The Schwartz algebra of an affine Hecke algebra

Auteurs : Patrick Delorme [France] ; Eric M. Opdam [Pays-Bas]

Source :

• Journal für die reine und angewandte Mathematik (Crelles Journal) [ 0075-4102 ] ; 2008-12.

RBID : ISTEX:6FEDCCE961505C5542A5C9CBA9AFC0621673ED4E

English descriptors

• KwdEn :
  • Abelian subalgebra, Algebra, Algebra isomorphism, Atemp, Bernstein, Bernstein presentation, Canonical, Canonical image, Central character, Character lattice, Compact realization, Constant part, Constant term, Constant terms, Corollary, Cosets, Datum, Delorme, Discrete series representation, Discrete series representations, Dominant elements, Double coset, Eigenvalue, Equivalence class, Equivalence classes, Exponent, First reduction theorem, Formal completion, Fourier, Frechet, Frechet algebra, Frobenius reciprocity, Functionals, Functor, Fundamental weights, Generalized spaces, Generic, Generic points, Geometric lemma, Groupoid, Harmonic analysis, Hecke, Hecke algebra, Hecke algebra theorem, Hecke algebras, Hilbert, Hilbert algebra, Holomorphic, Homh, Homomorphism, Idempotents, Immediate consequence, Induction, Induction datum, Induction functor, Induction step, Invertible, Involutive, Involutive algebra, Involutive algebras, Irreducible, Irreducible representation, Irreducible representations, Isomorphic, Isomorphism, Iwahori subgroup, Label function, Label functions, Lattice, Lemma, Length function, Length multiplicative function, Lusztig, Main theorem, Math, Matrix, Modc, Module, Modulus, Morita equivalence, Neighbourhood, Nite, Nite functionals, Opdam, Orthogonal projection, Other hand, Other words, Parabolic, Plancherel, Plancherel measure, Quotient, Rational function, Rational functions, Real reductive groups, Reductive, Reductive group, Reductive groups, Reine angew, Representation, Representation space, Representation theory, Residual, Residual point, Residual points, Resp, Root data, Root datum, Root labels, Root lattice, Root system, Scalar product, Schwartz, Schwartz algebra, Semisimple, Series representation, Series representations, Simple roots, Smooth families, Smooth family, Smooth representations, Smooth section, Special case, Spectral measure, Spectral projections, Standard induction data, Standard induction datum, Subalgebra, Subgroup, Subset, Theorem, Trivial bundle, Tubular neighbourhood, Unitary, Unitary character, Vector space, Vector spaces, Wave packet operator, Weyl, Weyl group, Weyl groups.
• Teeft :
  • Abelian subalgebra, Algebra, Algebra isomorphism, Atemp, Bernstein, Bernstein presentation, Canonical, Canonical image, Central character, Character lattice, Compact realization, Constant part, Constant term, Constant terms, Corollary, Cosets, Datum, Delorme, Discrete series representation, Discrete series representations, Dominant elements, Double coset, Eigenvalue, Equivalence class, Equivalence classes, Exponent, First reduction theorem, Formal completion, Fourier, Frechet, Frechet algebra, Frobenius reciprocity, Functionals, Functor, Fundamental weights, Generalized spaces, Generic, Generic points, Geometric lemma, Groupoid, Harmonic analysis, Hecke, Hecke algebra, Hecke algebra theorem, Hecke algebras, Hilbert, Hilbert algebra, Holomorphic, Homh, Homomorphism, Idempotents, Immediate consequence, Induction, Induction datum, Induction functor, Induction step, Invertible, Involutive, Involutive algebra, Involutive algebras, Irreducible, Irreducible representation, Irreducible representations, Isomorphic, Isomorphism, Iwahori subgroup, Label function, Label functions, Lattice, Lemma, Length function, Length multiplicative function, Lusztig, Main theorem, Math, Matrix, Modc, Module, Modulus, Morita equivalence, Neighbourhood, Nite, Nite functionals, Opdam, Orthogonal projection, Other hand, Other words, Parabolic, Plancherel, Plancherel measure, Quotient, Rational function, Rational functions, Real reductive groups, Reductive, Reductive group, Reductive groups, Reine angew, Representation, Representation space, Representation theory, Residual, Residual point, Residual points, Resp, Root data, Root datum, Root labels, Root lattice, Root system, Scalar product, Schwartz, Schwartz algebra, Semisimple, Series representation, Series representations, Simple roots, Smooth families, Smooth family, Smooth representations, Smooth section, Special case, Spectral measure, Spectral projections, Standard induction data, Standard induction datum, Subalgebra, Subgroup, Subset, Theorem, Trivial bundle, Tubular neighbourhood, Unitary, Unitary character, Vector space, Vector spaces, Wave packet operator, Weyl, Weyl group, Weyl groups.

Url:

• https://api.istex.fr/document/6FEDCCE961505C5542A5C9CBA9AFC0621673ED4E/fulltext/pdf

DOI: 10.1515/CRELLE.2008.090

Affiliations:

• France, Pays-Bas
• Hollande-Septentrionale, Provence-Alpes-Côte d'Azur
• Amsterdam, Marseille
• Université d'Amsterdam

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