Rarita-Schwinger type operators on spheres and real projective space

Junxia Li; John Ryan; Carmen J. Vanegas

Displaying similar documents to “Rarita-Schwinger type operators on spheres and real projective space”

Some sharp $L^{2}$ inequalities for Dirac type operators.

Balinsky, Alexander, Ryan, John (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Fischer decompositions in Euclidean and Hermitean Clifford analysis

Freddy Brackx, Hennie de Schepper, Vladimír Souček (2010)

Archivum Mathematicum

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Euclidean Clifford analysis is a higher dimensional function theory studying so–called monogenic functions, i.e. null solutions of the rotation invariant, vector valued, first order Dirac operator $\underset{̲}{\partial}$ . In the more recent branch Hermitean Clifford analysis, this rotational invariance has been broken by introducing a complex structure $J$ on Euclidean space and a corresponding second Dirac operator ${\underset{̲}{\partial}}_{J}$ , leading to the system of equations $\underset{̲}{\partial} f = 0 = {\underset{̲}{\partial}}_{J} f$ expressing so-called Hermitean monogenicity. The invariance...

A tutorial on conformal groups

Ian Porteous (1996)

Banach Center Publications

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Our concern is with the group of conformal transformations of a finite-dimensional real quadratic space of signature (p,q), that is one that is isomorphic to $ℝ^{p, q}$ , the real vector space $ℝ^{p + q}$ , furnished with the quadratic form $x^{(2)} = x \cdot x = - x_{1}^{2} - x_{2}^{2} - . . . - x_{p}^{2} + x_{p + 1}^{2} + . . . + x_{p + q}^{2}$ , and especially with a description of this group that involves Clifford algebras.

Additive combinations of special operators

Pei Wu (1994)

Banach Center Publications

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This is a survey paper on additive combinations of certain special-type operators on a Hilbert space. We consider (finite) linear combinations, sums, convex combinations and/or averages of operators from the classes of diagonal operators, unitary operators, isometries, projections, symmetries, idempotents, square-zero operators, nilpotent operators, quasinilpotent operators, involutions, commutators, self-commutators, norm-attaining operators, numerical-radius-attaining operators, irreducible...

Twisted spherical means in annular regions in $ℂ^{n}$ and support theorems

Rama Rawat, R.K. Srivastava (2009)

Annales de l’institut Fourier

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Let $Z (Ann (r, R))$ be the class of all continuous functions $f$ on the annulus $Ann (r, R)$ in $ℂ^{n}$ with twisted spherical mean $f \times μ_{s} (z) = 0,$ whenever $z \in ℂ^{n}$ and $s > 0$ satisfy the condition that the sphere $S_{s} (z) \subseteq Ann (r, R)$ and ball $B_{r} (0) \subseteq B_{s} (z) .$ In this paper, we give a characterization for functions in $Z (Ann (r, R))$ in terms of their spherical harmonic coefficients. We also prove support theorems for the twisted spherical means in $ℂ^{n}$ which improve some of the earlier results.

External ellipsoidal harmonics for the Dunkl-Laplacian.

Volkmer, Hans (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Displaying similar documents to “Rarita-Schwinger type operators on spheres and real projective space”

Some sharp L 2 inequalities for Dirac type operators.

Fischer decompositions in Euclidean and Hermitean Clifford analysis

A tutorial on conformal groups

Additive combinations of special operators

Twisted spherical means in annular regions in ℂ n and support theorems

External ellipsoidal harmonics for the Dunkl-Laplacian.

Some sharp $L^{2}$ inequalities for Dirac type operators.

Twisted spherical means in annular regions in $ℂ^{n}$ and support theorems