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UNIMODULAR FOURIER MULTIPLIERS FOR MODULATION SPACES
Fourier multiplier modulation space short-time Fourier transform Schrodinger equation wave equation conservation of energy
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2015/12/10
We investigate the boundedness of unimodular Fourier multipliers on modulation spaces. Surprisingly, the multipliers with general symbol ei|ξ|α, where α ∈ [0, 2], are bounded on all modulation spaces,...
The probability of rectangular unimodular matrices over $\F_q[x]$
Natural density unimodular matrices Riemann’s zeta function q-zeta function finite field polynomial ring
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2011/9/13
Abstract: In this note, we compute the probability that a $k\times n$ matrix can be extended to an $n\times n$ invertible matrix over $\F_q[x]$, which turns out to be $(1-q^{k-n})(1-q^{k-1-n})...(1-q^...
Free Cyclic Submodules and Non-Unimodular Vectors
Finite Unital Rings Free Cyclic Submodules Non-Unimodular Vectors
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2011/9/9
Abstract: Given a finite associative ring with unity, $R$, and its two-dimensional left module, $^{2}R$, the following two problems are addressed: 1) the existence of vectors of $^{2}R$ that do not be...
Unitary representations of unimodular Lie groups in Bergman spaces
Unitary representations of unimodular Lie groups Bergman spaces
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2010/12/3
For G an arbitrary unimodular Lie group, we construct strongly continuous unitary representations of G in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of the complex...
TransverseDiff gravity is to scalar-tensor as unimodular gravity is to General Relativity
TransverseDiff gravity scalar-tensor unimodular gravity General Relativity
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2010/12/15
Transverse Diffeomorphism (TDiff) theories are well-motivated theories of gravity from the quantum perspective, which are based upon a gauge symmetry principle. The main contribution of this work is t...
Observational Constraints on Transverse Gravity: a Generalization of Unimodular Gravity
Transverse Gravity Unimodular Gravity
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2010/3/19
We explore the hypothesis that the set of symmetries enjoyed by the theory that describes gravity is not the full group of diffeomorphisms Diff(M), as in General Relativity, but a maximal subgroup of ...