The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Positive polynomials and hyperdeterminants”

On the Jacobian ideal of the binary discriminant.

Carlos D'Andrea, Jaydeep Chipalkatti (2007)

Collectanea Mathematica

Similarity:

Let Δ denote the discriminant of the generic binary -ic. We show that for d ≥ 3, the Jacobian ideal of Δ is perfect of height 2. Moreover we describe its SL-equivariant minimal resolution and the associated differential equations satisfied by Δ. A similar result is proved for the resultant of two forms of orders , whenever ≥ -1. If Φ denotes the locus of binary forms with total root multiplicity ≥ -n, then we show that the ideal of Φ is also perfect, and we construct a covariant which...

Ultrasymmetric sequence spaces in approximation theory.

Evgeniy Pustylnik (2006)

Collectanea Mathematica

Similarity:

Let φ(t) be a positive increasing function and let Ê be an arbitrary sequence space, rearrangement-invariant with respect to the atomic measure µ(n) = 1/n. Let {a*} mean the decreasing rearrangement of a sequence {|a|}. A sequence space l with symmetric (quasi)norm || {φ(n)a*} || is called , because it is not only intermediate but also interpolation between the corresponding Lorentz and Marcinkiewicz spaces Λ and M. We study properties of the spaces l for all admissible parameters φ,...

Wiener amalgam spaces for the fundamental identity of Gabor analysis.

Hans G. Feichtinger, Franz Luef (2006)

Collectanea Mathematica

Similarity:

In the last decade it has become clear that one of the central themes within Gabor analysis (with respect to general time-frequency lattices) is a duality theory for Gabor frames, including the Wexler-Raz biorthogonality condition, the Ron-Shen duality principle and the Janssen representation of a Gabor frame operator. All these results are closely connected with the so-called , which we derive from an application of Poisson's summation formula for the symplectic Fourier transform. The...

A generalization of the Nikodym boundedness theorem.

Christopher Stuart (2007)

Collectanea Mathematica

Similarity:

In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.