Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
Free electron lasers -- Experiments. Wave guides -- Design and construction. Diffraction gratings -- Experiments. Electron beams. Infrared sources.
The far infrared region of the electromagnetic spectrum, 15-3000 Œºm in wavelength, has a paucity of narrow band laser sources. To address the issue of whether a grating based free electron laser could operate well as such a source, a grating...
Graph algorithms. Nuclear magnetic resonance spectroscopy -- Data processing. Proteins -- Structure -- Mathematical models. Proteins -- Crosslinking -- Mathematical models. Protein folding -- Mathematical models.
The study of three-dimensional protein structures produces insights into protein function at the molecular level. Graphs provide a natural representation of protein structures and associated experimental data, and enable the development of graph...
Voltage-dependent sodium channels (Na v ) are critical determinants of the ability of a neuron to generate and propagate action potentials. While a large family of Na v isoforms has been identified, the impact of specific isoforms on the electrical...
Digital integrated circuits -- Testing. Digital integrated circuits -- Testing -- Mathematical models. Digital integrated circuits -- Design and construction.
This thesis contains some results concerning groupoid dynamical systems and crossed products. We introduce the notion of a proper groupoid dynamical system and of its generalized fixed point algebra. We show that our notion of proper groupoid...
In this thesis I present analyses of optical and X-ray data of early-type galaxies in nearby rich clusters as part of the NOAO Fundamental Plane Survey. Spectroscopic parameters, including linestrengths and velocity dispersions are measured for...
Lung cancer is the leading cause of cancer-related mortality. There is a pressing need for improved ways to treat or prevent lung cancer. Murine lung cancer models are previously reported. Although these have explored pathways involved in lung...
The feasibility of a magnetic computation system was tested that consists of arranging thin film micromagnetic ring structures. Each ring is magnetized in a circular, vortex state in either the clockwise (CW) or counterclockwise (CCW) directions,...
Breast -- Magnetic resonance imaging. Breast -- Tomography. Near infrared spectroscopy. Optical tomography. Imaging systems -- Design and construction. Diagnostic imaging -- Mathematical models.
CD antigens. T cells -- Receptors. Receptor-ligand complexes. Transplantation immunology. Immunological tolerance -- Molecular aspects. Antigens
Voltage-dependent sodium channels (Na v ) are critical determinants of the ability of a neuron to generate and propagate action potentials. While a large family of Na v isoforms has been identified, the impact of specific isoforms on the electrical...
As the ubiquitous complexity of common disease has become apparent, so has the need for novel tools and strategies that can accommodate complex patterns of association. In particular, the analytic challenges posed by the phenomena known as...
This thesis investigates the embedding theory of orders in central simple algebras, placing a particular emphasis on the role that the phenomenon known as selectivity plays in the theory. Although the notion of selectivity is completely algebraic,...
The focus of this thesis is the study of nuclearity and exactness for groupoid crossed product C*-algebras. In particular, we present generalizations of two well-known facts from group dynamical systems and crossed products to the groupoid setting....
In the past few years there has been a tremendous growth in the usage of digital images. Users can now access millions of photos, a fact that poses the need of having methods that can efficiently and effectively search the visual information of...
Proteins are ubiquitous in cells and are essential to a wide range of biological processes. Since existing proteins occupy only a small portion of the space of possible amino acid composition, understanding their sequence-structure-function...
Through a series of case studies, signal processing and statistical tools, analyses of dynamic sea ice processes of drift, deformation, and ice pack expansion and decay are investigated for the Weddell Sea region during 1992. Cavitating fluid (CAV)...
Recent technological advances have fostered the emergence of Wireless Sensor Networks (WSNs), which consist of tiny, wireless, battery-powered nodes that are expected to revolutionize the ways in which we understand and construct complex physical...
In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
A fiber can transmit around 25 Tbit/s, but electronic signal processing today is performed at much slower speeds, usually 1-10 Gbit/s. To avoid this "bottleneck" in optical fiber communication systems, all signal processing will have to be done...
Arabidopsis thaliana -- Physiology. Zinc -- Physiological transport. Iron -- Physiological transport. Homeostasis. Trace elements in plant nutrition.
Iron and zinc are essential metal micronutrients that most humans acquire from plant-based diets. Unfortunately, plants are not a good source of these micronutrients, so billions of people worldwide suffer from deficiencies of these two elements....
Spectral theory is the subfield of differential geometry which provided the solution to Kac''s famous question, "Can you hear the shape of a drum?" That is, can we use the Laplace spectrum of a manifold to draw conclusions about its geometry or...
Bronchi -- Cancer -- Chemoprevention. ; Cyclins. ; Retinoids -- Therapeutic use. ; Cellular control mechanisms. ; G1 Phase.
Retinoids, natural and synthetic derivatives of vitamin A, are active in cancer treatment and chemoprevention. There is a need for an in-depth understanding of the mechanisms that account for retinoid response or resistance in lung cancer...
Coding theory. Characters of groups. Error-correcting codes (Information theory). Polynomials.
We introduce vector-valued character theory, a higher dimensional generalization of character theory. We then use vector-valued characters to extend the MacWilliams equivalence theorem for linear codes to a class of additive codes, called...
For a local field K, we study the affine buildings Ξ n and Δ n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Δ n in Ξ 2 n ....
Monocytes and macrophages play a key role in a number of immune functions including inflammation, antigen presentation and the clearance of microorganisms and free hemoglobin. Two surface receptors which are important for these functions are CD163...