Covariant quantization: spectral analysis versus deformation theory (Q1043881)

scientific article; zbMATH DE number 5644704

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English	Covariant quantization: spectral analysis versus deformation theory	scientific article; zbMATH DE number 5644704

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instance of

scholarly article

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title

Covariant quantization: spectral analysis versus deformation theory (English)

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author

Michael Pevzner

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published in

Japanese Journal of Mathematics. 3rd Series

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publication date

9 December 2009

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zbMATH Keywords

quantization

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unitary representations

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semisimple symmetric spaces

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s11537-008-0831-7

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cites work

The non-commutative Weil algebra

0 references

Poisson geometry and the Kashiwara-Vergne conjecture.

0 references

On the Kashiwara-Vergne conjecture

0 references

Kontsevich quantization and invariant distributions on Lie groups

0 references

Convolution of invariant distributions: proof of the Kashiwara-Vergne conjecture

0 references

SIMPLE GRADED RINGS OF SIEGEL MODULAR FORMS, DIFFERENTIAL OPERATORS AND BORCHERDS PRODUCTS

0 references

Asymptotic expansions of Berezin transforms

0 references

Weyl calculus for complex and real symmetric domains

0 references

Q4788784

0 references

A one‐parameter calculus for symmetric domains

0 references

Theory of Reproducing Kernels

0 references

A geometric construction of the discrete series for semisimple Lie groups

0 references

Q5437844

0 references

Deformation theory and quantization. II: Physical applications

0 references

Weighted Bergman spaces on bounded symmetric domains.

0 references

General concept of quantization

0 references

Q3881415

0 references

Q5800023

0 references

Un théorème de Liouville pour les algèbres de Jordan

0 references

Algebraic structures of Makarevič spaces. I

0 references

The geometry of Jordan and Lie structures

0 references

Symmetric spaces and star representations. II: Causal symmetric spaces

0 references

Q3158959

0 references

Rankin-Cohen brackets and formal quantization

0 references

Group representations arising from Lorentz conformal geometry

0 references

Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup

0 references

A path integral approach to the Kontsevich quantization formula.

0 references

Quantification pour les paires symétriques et diagrammes de Kontsevich

0 references

A generalized Hecke identity

0 references

Sums involving the values at negative integers of $L$-functions of quadratic characters

0 references

Q4655967

0 references

Q4428792

0 references

Canonical representations related to hyperbolic spaces

0 references

Q4387355

0 references

The Berezin form for rank one para-Hermitian symmetric spaces

0 references

Tensor products of maximal degenerate series representations of the group $SL(n,\mathbb{R})$

0 references

Berezin kernels of tube domains

0 references

Q4788994

0 references

Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type

0 references

Invariant Hilbert subspaces of the oscillator representation

0 references

Q5755508

0 references

𝐻*-algebras and quantization of para-Hermitian spaces

0 references

Q5785884

0 references

Covariant and equivariant formality theorems

0 references

Opérateurs différentiels bi-invariants sur un groupe de Lie

0 references

Explicit Hilbert spaces for certain unipotent representations. II

0 references

Explicit Hilbert spaces for certain unipotent representations. III

0 references

RANKIN–COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS

0 references

The Lie theory of the Rankin-Cohen brackets and allied bi-differential operators

0 references

A mean value theorem on bounded symmetric domains

0 references

Q4321748

0 references

Q4867152

0 references

Berezin kernels and analysis on Makarevich spaces

0 references

Q4796249

0 references

Discrete series for semisimple symmetric spaces

0 references

Q4033552

0 references

Bessel functions of matrix argument

0 references

On some results of Strichartz and of Rallis and Schiffman

0 references

Remarks on Classical Invariant Theory

0 references

Degenerate principal series representations of $GL_n(\mathbb{C})$ and $GL_n(\mathbb{R})$

0 references

Non-Abelian harmonic analysis. Applications of $SL(2,{\mathbb{R}})$

0 references

Homogeneous functions on light cones: the infinitesimal structure of some degenerate principal series representations

0 references

Q3849170

0 references

Restrictions and expansions of holomorphic representations

0 references

Degenerate principal series and compact groups

0 references

Q3138335

0 references

Paracomplex structures and affine symmetric spaces

0 references

Q5554422

0 references

On the Segal-Shale-Weil representations and harmonic polynomials

0 references

The Campbell-Hausdorff formula and invariant hyperfunctions

0 references

Q3205454

0 references

Q4830318

0 references

Discrete decomposability of restriction of $A_{\mathfrak q}(\lambda)$ with respect to reductive subgroups and its applications

0 references

The restriction of $A_ q(\lambda)$ to reductive subgroups

0 references

Discrete decomposability of the restriction of $A_q(\lambda)$ with respect to reductive subgroups. II: Micro-local analysis and asymptotic $K$-support

0 references

Discrete decomposability of the restriction of $A_{{\mathfrak q}}(\lambda)$ with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties

0 references

Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups

0 references

Q3603789

0 references

Multiplicity-free representations and visible actions on complex manifolds

0 references

Visible actions on symmetric spaces

0 references

Analysis on the minimal representation of $O(p,q)$. I: Realization via conformal geometry.

0 references

Analysis on the minimal representation of $\mathrm O(p,q)$. II: Branching laws.

0 references

Analysis on the minimal representation of O($p,$ $q$). III: Ultrahyperbolic equations on $\mathbb{R}^{p-1,q-1}$

0 references

Über eine Gruppe von rationalen Abbildungen

0 references

Deformation quantization of Poisson manifolds

0 references

Q3158968

0 references

The Capelli identity, tube domains, and the generalized Laplace transform

0 references

Jordan algebras and Capelli identities

0 references

On Hardy and Bergman spaces on complex Ol'shanskiĭ semigroups

0 references

Scattering Theory for Automorphic Functions. (AM-87)

0 references

On some degenerate principal series representations of $U(n,n)$

0 references

Q4896970

0 references

Q5565588

0 references

Q4185057

0 references

Tangent cohomology and cup-product for the Kontsevich quantization

0 references

TENSOR PRODUCTS OF UNITARY REPRESENTATIONS OF THE THREE-DIMENSIONAL LORENTZ GROUP

0 references

Q4387357

0 references

Matrix analogues of the beta function and Plancherel's formula for Berezin kernel representations

0 references

Matrix balls, radial analysis of Berezin kernels, and hypergeometric determinants

0 references

Plancherel formula for Berezin deformation of $L^{2}$ on Riemannian symmetric space

0 references

Q4214041

0 references

The holomorphic discrete series for affine symmetric spaces. I

0 references

Q4509277

0 references

Transvectants, modular forms, and the Heisenberg algebra.

0 references

Restriction of square integrable representations: discrete spectrum

0 references

Generalized principal series representations and tube domains

0 references

Q3699041

0 references

Harmonic analysis for differential forms on complex hyperbolic spaces

0 references

Hankel forms of arbitrary weight over a symmetric domain via the transvectant

0 references

Tensor products of holomorphic representations and bilinear differential operators

0 references

Q4878383

0 references

Analyse conforme sur les algèbres de Jordan

0 references

Représentation de Weil associée à une représentation d'une algèbre de Jordan

0 references

Duflo isomorphism and tangential cohomology.

0 references

Projective pseudodifferential analysis and harmonic analysis

0 references

Rankin-Cohen brackets and associativity

0 references

Line bundles on a symmetric space and invariant analysis

0 references

Q3988599

0 references

Explicit Hilbert spaces for certain unipotent representations

0 references

Q3139082

0 references

Jordan algebras and degenerate principal series.

0 references

Analysis in matrix space and Speh's representations

0 references

Berezin-Toeplitz quantization and Berezin transform

0 references

Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)

0 references

Branching laws for minimal holomorphic representations

0 references

Q2736011

0 references

Harmonic analysis on hyperboloids

0 references

Q4857875

0 references

Kirillov-Duflo orbit method and minimal representations of simple groups over a local field of characteristic zero

0 references

Invariant differential operators on symmetric spaces. I: Orbit methods

0 references

Invariant differential operators on symmetric spaces. II: The generalized Harish- Chandra homomorphism

0 references

Q3900553

0 references

Quantization and non-holomorphic modular forms

0 references

La série discrète de ${\rm SL}(2,\,{R})$ et les opérateurs pseudo-différentiels sur une demi-droite

0 references

Quantification et analyse pseudo-différentielle

0 references

Algebras of symbols and modular forms

0 references

The Berezin transform and invariant differential operators

0 references

Q4776087

0 references

Invariant convex cones and orderings in Lie groups

0 references

Sur certains groupes d'opérateurs unitaires

0 references

Q4284459

0 references

Modular forms and differential operators

0 references

Jordan algebras and generalized principal series representations

0 references

Berezin transform on compact Hermitian symmetric spaces

0 references

Berezin transform on real bounded symmetric domains

0 references

Branching coefficients of holomorphic representations and Segal-Bargmann transform

0 references

Identifiers

zbMATH Open document ID

1181.81080

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Mathematics Subject Classification ID

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10.1007/S11537-008-0831-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:1043881