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Energy-spectral Compton scatter imaging. I. Theory and mathematics

IEEE Transactions on Nuclear Science, 1995
A technique for tomographic imaging of electron density using the energy spectrum of Compton scattered gamma-rays is described. The energy-angle relationship for Compton scattering is utilized to determine the direction of scattered photons. A single-scattering "forward mapping" model is constructed to relate electron density to the detector response ...
N.V. Arendtsz, E.M.A. Hussein
openaire   +1 more source

Spectral Theory of PDE for Mathematical Finance

SSRN Electronic Journal, 2011
This lecture notes summarizes standard machinery of spectral theory of PDE which is important for several applications in Mathematical Finance.
openaire   +1 more source

Mini-Workshop: Discrete p-Laplacians: Spectral Theory and Variational Methods in Mathematics and Computer Science

Oberwolfach Reports, 2015
The p-Laplacian operators have a rich analytical theory and in the last few years they have also offered efficient tools to tackle several tasks in machine learning. During the workshop mathematicians and theoretical computer scientists working on models based on p-Laplacians on graphs and manifolds have presented the latest theoretical developments ...
Matthias Hein   +2 more
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Mathematical Physics, Spectral Theory and Stochastic Analysis

2013
This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics.
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SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS

Russian Mathematical Surveys, 1979
CONTENTS § 0. Introduction Chapter I. Selberg theory on a compact Riemann surface § 1. The Voronoi-Hardy formula § 2. Elementary spectral theory of automorphic functions § 3. The Selberg trace formula § 4. The Selberg zeta-function § 5. Refinement of the spectral theory of automorphic functions § 6. The problem of moduli Chapter 2.
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Fundamental Mathematical Structures of Quantum Theory

2019
This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including
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Spectral expansions and excursion theory for non-self-adjoint Markov semigroups with applications in mathematical finance

2017
This dissertation consists of three parts. In the first part, we establish a spectral theory in the Hilbert space L2(R+) of the C0-semigroup P and its adjoint bP having as generator, respectively, the Caputo and the right-sided Riemann-Liouville fractional derivatives of index 1 < alpha < 2.
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Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation

2017
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory ...
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