This paper presents an articulatory synthesis method to transform utterances from a second language (L2) learner to appear as if they had been produced by the same speaker but with a native (L1) accent. The approach consists of building a probabilistic articulatory synthesizer (a mapping from articulators to acoustics) for the L2 speaker, then driving the model with articulatory gestures from a...

We reduce here end-point estimates for one singular operator (namely for dyadic square function) to Monge–Ampère equations with drift. The spaces are weighted spaces, and therefore the domain, where we solve our PDE is non-convex. If we are in the end-point situation our goal is either to find a logarithmic blow-up of the norm estimate from below, or to prove that there is upper estimate of the...

Let G be a step two nilpotent Lie group. In this paper, we give necessary and sufficient conditions on the operator valued symbols σ such that associated pseudo-differential operators Tσ are in class of Hilbert-Schmidt operators. As key to prove this, define (μ,ν)-Weyl transform derive trace formula for with L2(R2n). We show L2(G) same as symbol L2(R2n+r+k×R2n+r+k). Further, present characteriz...

For a Schwartz function f on the plane and a non-zero v ∈ R2 define the Hilbert transform of f in the direction v to be Hvf(x) = p.v. ∫ R f(x− vy) dy y Let ζ be a Schwartz function with frequency support in the annulus 1 ≤ |ξ| ≤ 2, and ζf = ζ ∗ f . We prove that the maximal operator sup|v|=1|Hvζf | maps L2 into weak L2, and Lp into Lp for p > 2. The L2 estimate is sharp. The method of proof is ...

This thesis presents Gabor frames for L2(T) and for the space of periodic sequences Cp , as being analogue to Fourier series and the discrete Fourier transform. Results from the standard theory of Gabor frames for L2(R) are transferred to the periodic setting. This includes results about sampling Gabor systems and existence of Gabor frames. The interrelation of Gabor frames for the continuous s...

This paper describes a novel approach to generate potential foreign-accented phonetic transcriptions using phonological rewrite rules. For each pair of a native language (Li) and a target language (L2), a set of postlexical rules is designed to transform canonical phonetic dictionaries of L2 into adapted dictionaries for native Li speakers. Some general considerations on the design of such a ru...

This paper presents a new approach to model prototypical foreign-accented pronunciation variants on the phonetic transcription level using rewrite rules. For each native language (L1) and target language (L2) pair, a set of postlexical rules is designed to transform canonical phonetic dictionaries of L2 into adapted dictionaries for native L1 speakers. Potential applications are speech recognit...

Abstract. In this paper we devise a new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier-Bessel transform. It appears that in the two-dimensional case, it coincides with the Clifford-Fourier and cylindrical Fourier transforms introduced earlier. We show that this new integral transform satisfies operational formulae which are similar to those of t...

We demonstrate that the Plancherel transform for Type-I groups provides one with a natural, unified perspective for the generalized continuous wavelet transform, on the one hand, and for a class of Wigner functions, on the other. The wavelet transform of a signal is an L2-function on an appropriately chosen group while the Wigner function is defined on a coadjoint orbit of the group and serves ...