The Radon transform, which represents the scattering data arising from a tomographic scan, underpins the mathematical foundations of medical imaging. This book surveys the mathematics behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled physics or hybrid techniques, including thermoacoustic tomography. Presented in this treatment are explanations of important concepts such as inversion, stability, incomplete data effects, the role of interior information, and other critical issues. In addition to emphasising...

This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the...

This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the...