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» On a generalization of Stickelberger's Theorem
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COMBINATORICS
2007
67views more  COMBINATORICS 2007»
15 years 6 months ago
Non-Commutative Sylvester's Determinantal Identity
Sylvester’s identity is a classical determinantal identity with a straightforward linear algebra proof. We present combinatorial proofs of several non-commutative extensions, an...
Matjaz Konvalinka
JAT
2008
57views more  JAT 2008»
15 years 6 months ago
Invertibility of the Gabor frame operator on the Wiener amalgam space
We use a generalization of Wiener's 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L , 1 )(Rd ), the corresponding frame operato...
Ilya A. Krishtal, Kasso A. Okoudjou
MLQ
2008
108views more  MLQ 2008»
15 years 6 months ago
Comparison of Picard groups in dimension 1
We compare two Picard groups in dimension one. Our proofs are constructive and the results generalize a theorem of J. Sands [11]. MSC 2000: 13C15, 13C20, 03F65, 13F45
Henri Lombardi, Claude Quitté
JSYML
2006
84views more  JSYML 2006»
15 years 6 months ago
Bounded modified realizability
We define a notion of realizability, based on a new assignment of formulas, which does not care for precise witnesses of existential statements, but only for bounds for them. The ...
Fernando Ferreira, Ana Nunes
GC
2007
Springer
15 years 6 months ago
Subdivision Extendibility
Let H be a multigraph and G a graph containing a subgraph isomorphic to a subdivision of H, with S ⊂ V (G) (the ground set) the image of V (H) under the isomorphism. We consider...
Ronald J. Gould, Thor Whalen