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Träfflista för sökning "L773:0271 4132 OR L773:1098 3627 "

Sökning: L773:0271 4132 OR L773:1098 3627

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  • Boman, Jan, 1933- (författare)
  • Local non-injectivity for weighted Radon transforms
  • 2011
  • Ingår i: Contemporary Mathematics. - : American Mathematical Society (AMS). - 0271-4132 .- 1098-3627. ; 559, s. 39-47
  • Tidskriftsartikel (refereegranskat)abstract
    • A weighted plane Radon transform $R_{\rho}$ is considered, where $\rho(x, L)$ is a smooth positive function.  It is proved that the set of weight functions $\rho$, for which the map $f \mapsto R_{\rho} f$ is not locally injective, is dense in the space of smooth positive weight functions.
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  • Crispin Quiñonez, Veronica (författare)
  • Ratliff-Rush Monomial Ideals
  • 2006
  • Ingår i: Contemporary Mathematics. - Providence : American Mathematical Society (AMS). - 0271-4132 .- 1098-3627. ; 423, s. 43-50
  • Tidskriftsartikel (refereegranskat)
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  • Dahlner, Anders (författare)
  • A Wiener Tauberian Theorem for weighted convolution algebras of zonal functions on the automorphism group of the unit disc
  • 2006
  • Ingår i: Bergman Spaces and Related Topics in Complex Analysis, Proceedings. - 0271-4132 .- 1098-3627. ; 404, s. 67-102
  • Konferensbidrag (refereegranskat)abstract
    • Our main result gives necessary and sufficient conditions, in terms of Fourier transforms, for an ideal in the algebra L-1(G parallel to K, omega), the convolution algebra of zonal functions on the automorphism group on the unit disc which are integrable with respect to the weight; function omega, to be dense in the algebra, or to have as closure an ideal of functions whose set of common zeros of the Fourier transforms is a finite set on the boundary of the maximal ideal space of the algebra. The weights considered behave like Legendre functions of the first kind.
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  • Das, Pranabesh, et al. (författare)
  • Invitation to integral and rational points on curves and surfaces
  • 2015
  • Ingår i: Contemporary Mathematics. - Providence, Rhode Island : American Mathematical Society. - 1098-3627 .- 0271-4132. ; 654, s. 53-73
  • Konferensbidrag (refereegranskat)abstract
    • We provide a basic short introduction to Diophantine Geometry focusing on solutions to polynomial equations that correspond to rational and integral point of curves and surfaces. The methods employed are quite elementary and require no advanced background. We provide several explicit examples as well as ample citation for the motivated reader, aiming at introducing non-specialist to this intriguing world.
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  • Kantor, Isaiah, et al. (författare)
  • Graded representations of graded Lie algebras and generalized representations of Jordan algebras
  • 2005
  • Ingår i: Noncommutative Geometry and Representation Theory in Mathematical Physics. - 1098-3627 .- 0271-4132. - 0821837184 - 9780821837184 ; 391, s. 167-174
  • Konferensbidrag (refereegranskat)abstract
    • We introduce and discuss a connection between representations of a certain class of graded Lie algebras and representations of Jordan algebras. This connection is stimulating in both directions. On the one hand it allows to produce an unified point of view on ordinary and Jacobson representations of Jordan algebras and formulate a notion of a generalized representation of a Jordan algebra, which includes ordinary and Jacobson representations as very special cases. The classification of irreducible generalized representations of simple Jordan algebras is given. On the other hand we prove that there are no infinite dimensional irreducible finitely graded representations of graded semisimple Lie algebras and classify the finite dimensional representations of this kind. The theorem about nonexistence of infinite dimensional irreducible finitely graded representations of graded semisimple Lie algebras has in fact as motivation the theorem about the absence of infinite dimensional irreducible representations of the semisimple finite dimensional Jordan algebra A (what is under considered connection can be formulated as the absence of 2-graded irreducible infinite dimensional representations of the 3-graded Lie algebra L(A) = U-1 circle plus U-0 circle plus U-1).
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