The norm of a composition operator with linear symbol acting on the Dirichlet space

We obtain a representation for the norm of a composition operator on the Dirichlet space induced by a map of the form φ(z)=az+b. We compare this result to an upper bound for ‖Cφ‖ that is valid whenever φ is univalent. Our work relies heavily on an adjoint formula recently discovered by Gallardo-Gutiérrez and Montes-Rodríguez

A densitometric analysis of commercial 35mm films

IIaO films have been subjected to various sensitometric tests. The have included thermal and aging effects and reciprocity failure studies. In order to compare the special IIaO film with popular brands of 35 mm films and their possible use in astrophotography, Agfa, Fuji and Kodak print and slide formats, as well as black and white and color formats, were subjected to sensitometric, as well as densitometric analysis. A scanning electron microscope was used to analyze grain structure size, and shape as a function of both speed and brand. Preliminary analysis of the grain structure using an ISI-SS40 scanning electron microscope indicates that the grain sizes for darker densities are much larger than the grain size for lighter densities. Researchers analyze the scanning electron microscope findings of the various grains versus densities as well as enhancement of the grains, using the IP-8500 Digital Image Processor

Adjoints of composition operators with rational symbol

Building on techniques developed by Cowen and Gallardo-Guti\'{e}rrez, we find a concrete formula for the adjoint of a composition operator with rational symbol acting on the Hardy space $H^{2}$. We consider some specific examples, comparing our formula with several results that were previously known.Comment: 14 page

Behavioral finance: Its history and its future

The field of behavioral finance has attempted to explain a litany of biases, heuristics, and inefficiencies present in financial markets since its creation in the 1980’s. This paper is structured as a comprehensive literature review of behavioral finance, and includes both the seminal works as well as more recent papers. The various subtopics of behavioral finance will also be analyzed, which include loss aversion, corporate finance, and momentum/contrarian investing. Finally, this paper will draw unique conclusions across behavioral finance and hypothesize about what topics within behavioral finance are likely to yield the most interesting research in the near future

The rechabites in the bible and in Jewish tradition to the time of rabbi David Kimhi

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