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- Erwin Schrödinger International, Joachim Toft
- 2005

Let M (ω) be the modulation space with parameters p, q and weight function ω. We prove that if p1 = p2, q1 = q2, ω1 = ω0ω and ω2 = ω0, and ∂ a/ω0 ∈ L∞ for all α, then the Ψdo at(x,D) : M p1,q1 (ω1) →… (More)

- NENAD TEOFANOV, Joachim Toft

We introduce the wave-front set, W F F L q (ω) with respect to weighted Fourier Lebesgue space F L q (ω) , where ω is an appropriate weight function and q ∈ [1, ∞]. We prove that usual mapping… (More)

- Stevan Pilipovic, NENAD TEOFANOV, Joachim Toft

We consider different types of (local) products f 1 f 2 in Fourier Lebesgue spaces. Furthermore, we prove the existence of such products for other distributions satisfying appropriate wave-front… (More)

Let Op t (a), for t ∈ R, be the pseudo-differential operator f (x) → (2π) −n Z Z a((1 − t)x + ty, ξ)f (y)e ix−y,ξ dydξ and let Ip be the set of Schatten-von Neumann operators of order p ∈ [1, ∞] on L… (More)

In this paper various properties of global and local changes of variables as well as properties of canonical transforms are investigated on modulation and Wiener amalgam spaces. We establish several… (More)

- Joachim Toft
- 2006

A b s t r a c t. Let Wp,q be the Fourier modulation space FMp,q and let ∗σ be the twisted convolution. If a ∈ D′ such that (a ∗σ φ,φ) ≥ 0 for every φ ∈ C∞ 0 , and χ ∈ S such that χ(0) 6= 0, then we… (More)

- Karoline Johansson, Stevan Pilipovic, Nenad Teofanov, Joachim Toft
- 2012

We extend some results from [14] and [19], concerning wave-front sets of Fourier–Lebesgue and modulation space types, to a broader class of spaces of ultradistributions. We relate these wave-front… (More)

The aim of this short review is to attract the attention of the pseudo-differential community to possibiliti es in the development of operator calculus for symbols (depending on p-adic conjugate… (More)

- Joachim Toft
- 2012

The (classical) modulation spaces, as introduced by Feichtinger during the 80’s, consist of all tempered distributions whose short-time Fourier transforms (STFT) have finite mixed (weighted) Lebesgue… (More)

- Sven Nordebo, Stefan Gustafsson, Andreas D. Ioannidis, Borje Nilsson, Joachim Toft
- 2013 International Symposium on Electromagnetic…
- 2013

This paper presents two variants of a generalized Jordan's lemma with applications in waveguide theory. As a main application is considered an asymptotic analysis for open waveguide structures with… (More)