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BILINEAR PSEUDODIFFERENTIAL OPERATORS ON MODULATION SPACES
Bilinear operators Gabor frames modulation spaces moderate weights pseudodifferential operators sequence spaces short-time Fourier transform time-frequency analysis weighted spaces
2015/12/10
We use the theory of Gabor frames to prove the boundedness of bilinear pseudodifferentialoperators on products of modulation spaces. In particular,we show that bilinear pseudodifferential operators co...
UNIMODULAR FOURIER MULTIPLIERS FOR MODULATION SPACES
Fourier multiplier modulation space short-time Fourier transform Schrodinger equation wave equation conservation of energy
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,...
A BEURLING-HELSON TYPE THEOREM FOR MODULATION SPACES
Beurling-Helson theorem changes of variables Feichtinger algebra Fourier multipliers modulation spaces Sjostrand algebra
2015/12/10
We prove a Beurling-Helson type theorem on modulation spaces. More precisely, we show that the only C1 changes of variables that leave invariant themodulation spaces Mp,q(Rd) are affine functions on R...
LOCAL WELL-POSEDNESS OF NONLINEAR DISPERSIVE EQUATIONS ON MODULATION SPACES
Fourier multiplier weighted modulation space short-time Fourier transform nonlinear Schrodinger equation nonlinear wave equation nonlinear Klein-Gordon equation conservation of energy
2015/12/10
By using tools of time-frequency analysis, we obtain some improvedlocal well-posedness results for the NLS, NLW and NLKG equations with Cauchy data in modulation spaces Mp, 0,s
DILATION PROPERTIES FOR WEIGHTED MODULATION SPACES
Modulation spaces Besov spaces Dilation Inclusion Wave equations
2015/12/10
In this paper we give a sharp estimate on the norm of the scaling operator Uλf(x) = f(λx) acting on the weighted modulation spaces Mp,q s,t (Rd). In particular, we recover and extend recent results by...
MULTI-WINDOW GABOR FRAMES IN AMALGAM SPACES
Wiener amalgam space Gabor frame Wiener’s Lemma
2015/12/10
We show that multi-window Gabor frames with windows in the Wiener algebra W(L∞, `1) are Banach frames for all Wiener amalgam spaces. As a by-product of our results we prove thecanonical dual of a Gabo...
BOUNDEDNESS OF MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS ON MODULATION SPACES
MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS MODULATION SPACES
2015/12/10
Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the opera...
Scrambled geometric net integration over general product spaces
Discrepancy Multiresolution Rendering Scrambled net
2015/8/21
Quasi-Monte Carlo (QMC) sampling has been developed for integration over [0;1]s where it has superior accuracy to Monte Carlo (MC) for
integrands of bounded variation.
LOCALLY COMPACT,LOCALLY COUNTABLE SPACES AND RANDOM REALS
LOCALLY COMPACT LOCALLY COUNTABLE SPACES RANDOM REALS
2015/8/17
In this note I will present a proof that, assuming PFA, if R is a measure algebra then after forcing with R every uncountable locally compact locally countable cometrizable space contains an uncountab...
This paper is largely concerned with constructing quotients by etale equivalence relations.
We are inspired by questions in classical rigid geometry, but to give satisfactory answers in that categor...
The aim of this paper is to give a purely rigid-analytic development of the theory of canonical subgroups
with arbitrary torsion-level in generalized elliptic curves over rigid spaces over k (using L...
Operads, homotopy algebra and iterated integrals for double loop spaces
Operads homotopy algebra iterated integrals double loop spaces
2015/3/25
This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended ...
The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
2012/7/11
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
Injective hulls of certain discrete metric spaces and groups
Injective hulls certain discrete metric spaces and groups Group Theory
2011/9/23
Abstract: Injective metric spaces, or absolute 1-Lipschitz retracts, share a number of properties with CAT(0) spaces. Isbell showed that every metric space X has an injective hull E(X). We prove that ...
A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples
plus-construction Bousfield localization Moore spaces zero-in-the-spectrum K-Theory and Homology
2011/9/14
Abstract: We introduce a construction adding low-dimensional cells to a space that satisfies certain low-dimensional conditions; it preserves high-dimensional homology with appropriate coefficients. T...