Atomic decompositions of mixed norm Bergman spaces on tube type domains

We use the author's previous work on atomic decompositions of Besov spaces with spectrum on symmetric cones, to derive new atomic decompositions for Bergman spaces on tube type domains. It is related to work by Ricci and Taibleson who derived decompositions for classical Besov spaces from atomic decompositions of Bergman spaces on the upper half plane. Moreover, for this class of domains our method is an alternative to classical results by Coifman and Rochberg, and it works for a larger range of Bergman spaces.Comment: 9 page

The uncertainty principle for operators determined by Lie groups

For unbounded operators A,B and C in general, with C closure of [A,B] does not lead to the uncertainty relation ||Au|| ||Bu|| >= | |/2. If A,B and C are part of the generators of a unitary representation of a Lie group then the uncertainty principle above holds.Comment: 2 page

A break in the high-redshift stellar mass Tully-Fisher relation

We investigate the stellar-mass Tully-Fisher relation (TFR) between the stellar mass and the integrated gas velocity dispersion, quantified by the kinematic estimator S_0.5 measured from strong emission lines in spectra of galaxies at 0<z<5. We combine luminosity-selected galaxies (`high-luminosity sample') with galaxies selected in other ways (`low-luminosity sample') to cover a range in stellar mass that spans almost five orders of magnitude: 7.0 < log M* < 11.5. We find that the logarithmic power-law slope and normalisation of the TFR are independent of redshift out to z~3. The scatter in the TFR is <0.5 dex such that the gas velocity dispersion can be used as a proxy for the stellar mass of a galaxy independently of its redshift. At z>3 the scatter increases and the existence of a correlation is not obvious. The high-luminosity sample exhibits a flatter slope of 1.5$\pm$0.2 at z<3 compared to the low-luminosity sample slope of 2.9$\pm$0.3, suggesting a turnover in the TFR. The combined sample is well fit with a break in the TFR at a characteristic stellar mass scale of M*~10$^{10}$ M$_{\odot}$, with no significant evolution out to z~3. We demonstrate that a break in the TFR with a steeper slope at the low-mass end is a natural consequence of galaxy models with a mass-dependent stellar to halo-mass ratio.Comment: 12 pages, Accepted for publication in MNRA

A Process Approach to Corporate Coherence

We address the notion of 'corporate coherence', recently made prominent by Teece, Rumelt, Dosi and Winter (1994). We argue that the literature is confused on the meaning of the notion (and similar notions) in a number of dimensions. Drawing on insights from market-process theories, we put forward a dynamic understanding of corporate coherence as involving the corporate capacity to strike a favorable balance between the production and the exploitation of new knowledge. This argument is elaborated drawing on Austrian, evolutionary and post- Marshallian economics.Corporate coherence, knowledge, competences