Microlocal and Time-Frequency Analysis [PDF]
, 2022 The present volume collects the contributions selected for publication in the Special Issue entitled "Microlocal and Time-Frequency Analysis" of the journal Mathematics, edited by Elena Cordero and S.
Cordero, Elena +3 more
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Computation and Physics in Algebraic Geometry [PDF]
, 2023 Physics provides new, tantalizing problems that we solve by developing and implementing innovative and effective geometric tools in nonlinear algebra.
Fevola, Claudia
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The Development of Intersection Homology Theory
, 2006 This historical introduction is in two parts. The first is reprinted with permission from ``A century of mathematics in America, Part II,'' Hist. Math., 2, Amer. Math. Soc., 1989, pp.543-585. Virtually no change has been made to the original text.
Kleiman, Steven L.
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Applied microlocal analysis of deep neural networks for inverse problems [PDF]
, 2022 Deep neural networks have recently shown state-of-the-art performance in different imaging tasks. As an example, EfficientNet is today the best image classifier on the ImageNet challenge. They are also very powerful for image reconstruction, for example,
Andrade Loarca, Héctor
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Initial Value Representations [PDF]
, 2008 The time-dependent Schrödinger-equation is universally acknowledged as the fundamental equation of non-relativistic quantum dynamics. Its solution is a complex-valued, square-integrable function on the configuration-space of the system, whose dimension ...
Swart, Torben Christian
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Conic singularities, generalized scattering matrix, and inverse scattering on asymptotically hyperbolic surfaces [PDF]
, 2014 We consider an inverse problem associated with some 2-dimensional non-compact surfaces with conical singularities, cusps and regular ends. Our motivating example is a Riemann surface ℳ = Γ∖ℍ2 associated with a Fuchsian group of the first kind Γ ...
Isozaki, H, Kurylev, Y, Lassas, M
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From 2-d Polyakov Action to the 4-d Pseudo-Conformal Field Theory
, 2020 The characteristic property of the 2-d Polyakov action is its independence on the metric tensor, without being topological. A renormalizable 4-d action is found with this fundamental property.
Ragiadakos, C. N.
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Group invariance of global generalized solutions of nonlinear PDEs in Colombeau algebras and in the Dedekind order completion method [PDF]
, 1993 Thesis (PhD )--University of Pretoria, 1993.In this thesis a theoretical framework is provided within which large classes of nonlinear Lie groups of transformations are defined on spaces of generalized functions which yield global generalized solutions ...
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Applications of microlocal analysis to some hyperbolic inverse problems [PDF]
, 2015 This thesis compiles my work on three inverse problems: ultrasound recovery in thermoacoustic tomography, cancellation of singularities in synthetic aperture radar, and the injectivity and stability of some generalized Radon transforms.
Homan, Andrew J
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MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications [PDF]
, 2019 Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention.
Pranić, Miroslav +2 more
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