This article describes how four seasoned clinicians and group analysts working in public mental health services, experience their participation in a randomized trial of short-term versus long-term analytic group psychotherapy (20 or 80 sessions). The design makes it possible to integrate the research with regular clinical practice, and participation gives the institutions the opportunity to fulfil obligations of doing research, that are imposed on the Community Mental Health Centres. The experiences are mainly described from the clinicians' position, but some comments from the research director are included. The collaboration across approximately five years is found to be interesting and rewarding. Based on the assumption that further steps are made to strengthen and develop the qualitative aspects of such projects, the clinicians recommend such collaboration as a feasible and useful way to build and maintain a bridge across the gap that too often seems to separate researchers and clinicians. This is assumed to be profitable for everyone involved, not least the patients.

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We study Daubechies' time-frequency localization operator, which is characterized by a window and weight function. We consider a Gaussian window and a spherically symmetric weight as this choice yields explicit formulas for the eigenvalues, with the Hermite functions as the associated eigenfunctions. Inspired by the fractal uncertainty principle in the separate time-frequency representation, we define the n-iterate midthird spherically symmetric Cantor set in the joint representation. For the n-iterate Cantor set, precise asymptotic estimates for the operator norm are then derived up to a multiplicative constant.

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We study the fractal uncertainty principle in the joint time-frequency representation, and we prove a version for the Short-Time Fourier transform with Gaussian window on the modulation spaces. This can equivalently be formulated in terms of projection operators on the Bargmann-Fock spaces of entire functions. Specifically for signals in L 2 (R d ), we obtain norm estimates of Daubechies' time-frequency localization operator localizing on porous sets. The proof is based on the maximal Nyquist density of such sets, and for multidimensional Cantor iterates we derive explicit upper bound asymptotes. Finally, we translate the fractal uncertainty principle to discrete Gaussian Gabor multipliers.