Results 11 to 20 of about 58,916 (226)

Harmonic analysis for real spherical spaces

open access: yesActa Mathematica Sinica, English Series, 2017
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
core   +3 more sources

Constant mean curvature surfaces in 3-dimensional Thurston geometries [PDF]

open access: yes, 2011
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
core   +1 more source

General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains

open access: yes, 2007
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
core   +1 more source

Boundedness of Commutators Generated by the Rough Fractional Maximal Operator on Variable Exponent Central Morrey Spaces

open access: yesAxioms
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

open access: yes, 1993
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
core   +1 more source

Harmonic analysis on exponential solvable homogeneous spaces: the algebraic or symmetric cases [PDF]

open access: yesPacific Journal of Mathematics, 1989
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.
openaire   +3 more sources

On the mixed Cauchy problem with data on singular conics [PDF]

open access: yes, 2007
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
core   +2 more sources

Digital twins to accelerate target identification and drug development for immune‐mediated disorders

open access: yesFEBS Open Bio, EarlyView.
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

open access: yesTokyo Journal of Mathematics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
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

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