Results 11 to 20 of about 58,916 (226)
Harmonic analysis for real spherical spaces
We give an introduction to basic harmonic analysis and representation theory for homogeneous spaces $Z=G/H$ attached to a real reductive Lie group $G$.
Krötz, Bernhard, Schlichtkrull, Henrik
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Constant mean curvature surfaces in 3-dimensional Thurston geometries [PDF]
This is a survey on the global theory of constant mean curvature surfaces in Riemannian homogeneous 3-manifolds. These ambient 3-manifolds include the eight canonical Thurston 3-dimensional geometries, i.e.
Fernández Delgado, Isabel, Mira, Pablo
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General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains
A construction of relativistic wave equations on the homogeneous spaces of the Poincar\'{e} group is given for arbitrary spin chains. Parametrizations of the field functions and harmonic analysis on the homogeneous spaces are studied.
A. Kihlberg +26 more
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In this paper, using harmonic analysis tools−including spherical harmonic decomposition of kernels, sharp maximal function estimates, and variable exponent space theory—we investigate the boundedness of the commutator [b,MΩ,β] on variable exponent ...
Yuhe Yang, Zhenzhen Yang, Suixin He
doaj +1 more source
Phase Space Isometries and Equivariant Localization of Path Integrals in Two Dimensions
By considering the most general metric which can occur on a contractable two dimensional symplectic manifold, we find the most general Hamiltonians on a two dimensional phase space to which equivariant localization formulas for the associated path ...
Alekseev +45 more
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Harmonic analysis on exponential solvable homogeneous spaces: the algebraic or symmetric cases [PDF]
One of the main results of this paper is a complete description of the spectral decomposition of the quasi-regular representation of an arbitrary exponential solvable symmetric space. Benoist had shown previously that such a representation is multiplicity-free, but he was unable to compute the precise spectrum and spectrum measure.
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On the mixed Cauchy problem with data on singular conics [PDF]
We consider a problem of mixed Cauchy type for certain holomorphic partial differential operators whose principal part $Q_{2p}(D)$ essentially is the (complex) Laplace operator to a power, $\Delta^p$. We pose inital data on a singular conic divisor given
Author(s Ebenfelt +3 more
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Digital twins to accelerate target identification and drug development for immune‐mediated disorders
Digital twins integrate patient‐derived molecular and clinical data into personalised computational models that simulate disease mechanisms. They enable rapid identification and validation of therapeutic targets, prediction of drug responses, and prioritisation of candidate interventions.
Anna Niarakis, Philippe Moingeon
wiley +1 more source
Harmonic Analysis on Homogeneous Vector Bundles on Hyperbolic Spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source

