Some sharp inequalities for Dirac type operators.
Balinsky, Alexander, Ryan, John (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Balinsky, Alexander, Ryan, John (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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 . In the more recent branch Hermitean Clifford analysis, this rotational invariance has been broken by introducing a complex structure on Euclidean space and a corresponding second Dirac operator , leading to the system of equations expressing so-called Hermitean monogenicity. The invariance...
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 , the real vector space , furnished with the quadratic form , and especially with a description of this group that involves Clifford algebras.
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...
Rama Rawat, R.K. Srivastava (2009)
Annales de l’institut Fourier
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Let be the class of all continuous functions on the annulus in with twisted spherical mean whenever and satisfy the condition that the sphere and ball In this paper, we give a characterization for functions in in terms of their spherical harmonic coefficients. We also prove support theorems for the twisted spherical means in which improve some of the earlier results.
Volkmer, Hans (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Branson, Thomas P., Hong, Doojin (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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