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Concentration, Functional Inequalities and Isoperimetry
The interactions between concentration, isoperimetry and functional inequalities have led to many significant advances in functional analysis and probability theory. Important progress has also taken place in combinatorics, geometry, harmonic analysis and mathematical physics, with recent new applications in random matrices and information theory. This will appeal to graduate students and researchers interested in the interplay between analysis, probability, and geometry.
Geometric Aspects of Functional Analysis
As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis. Most of the papers deal with different aspects of Asymptotic Geometric Analysis, understood in a broad sense; many continue the study of geometric and volumetric properties of convex bodies and log-concave measures in high-dimensions and in particular the mean-norm, mean-width, metric entropy, spectral-gap, thin-shell and slicing parameters, with applications to Dvoretzky and Central-Limit-type results. The study of spectral properties of various systems, matrices, operators and potentials is another central theme in this volume. As expected, probabilistic to...
Adiabatic Evolution and Shape Resonances
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Catalytic Antibodies
This volume addresses fundamental questions concerning the immunological genesis of the catalytic activity in antibodies, its relationship with classical antigen binding activity, and the biochemical mechanisms involved in catalysis. The contents reflect three main challenges in the field, i.e. to delineate the biological functions of catalytic antibodies in autoimmune disease; to isolate therapy-grade antibody catalysts with sufficient specificity and turnover to permit rapid removal of microbial and tumor antigens; and to develop immunogens that recruit immature catalyst-producing B cells into the clonal selection pathway and induce adaptive improvements of the catalytic function. Well-edited and up-to-date, this book reviews the current knowledge in the field and explores ways by which natural and engineered catalytic activities can be harnessed for medical applications. It should therefore be of special interest to immunologists, biochemists, biotechnologists, rheumatologists and pathologists.
Hypergeometric Functions Over Finite Fields
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G Protein Signaling Mechanisms in the Retina
The main purpose of this volume is to provide a focused analysis of the function of the G protein-coupled signaling pathways that operate in the interconnected network of retinal neurons as they detect and encode the information carried by light. The organization of this volume will generally follow the path of signal flow in the retina. First we will describe recent advances in understanding the phototransduction cascade of rod and cone photoreceptors, which use signaling cascade based on the GPCR rhodopsin to transduce incident light into neural activity. Chapters will be devoted to unique specializations of the two major types of photosensitive cells that comprise the predominant input fo...
Functional Analysis and its Applications
The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ƒ{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.
