Results 61 to 70 of about 25,094,278 (198)
Microlocal Asymptotic Analysis in Algebras of Generalized Functions
, 2007 We introduce a new type of local and microlocal asymptotic analysis in algebras of generalized functions, based on the presheaf properties of those algebras and on the properties of their elements with respect to a regularizing parameter. Contrary to the
Delcroix, Antoine +2 more
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Soft Riemann‐Hilbert problems and planar orthogonal polynomials
Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley +1 more source
, 2019 We describe the elements of a novel structural approach to classical field theory, inspired by recent developments in perturbative algebraic quantum field theory.
Brunetti, Romeo +2 more
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Resurgent aspects of applied exponential asymptotics
Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley +1 more source
Perverse sheaves on Grassmannians
, 2002 We give a complete quiver description of the category of perverse sheaves on Hermitian symmetric spaces in types A and D, constructible with respect to the Schubert stratification.
Braden, Tom
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Shearlets and Microlocal Analysis [PDF]
, 2012 Although wavelets are optimal for describing pointwise smoothness properties of univariate functions, they fail to efficiently characterize the subtle geometric phenomena of multidimensional singularities in high-dimensional functions. Mathematically these phenomena can be captured by the notion of the wavefront set which describes point- and direction-
openaire +2 more sources
Inversion formula for an integral geometry problem over surfaces of revolution
Studies in Applied Mathematics, Volume 152, Issue 3, Page 1026-1043, April 2024.Abstract An integral geometry problem is considered on a family of n$n$‐dimensional surfaces of revolution whose vertices lie on a hyperplane and directions of symmetry axes are fixed and orthogonal to this plane, in Rn+1$\mathbb {R} ^{n+1}$. More precisely, the reconstruction of a function f(x,y)$f(\mathbf {x,}y)$, x∈Rn$\mathbf {x}\in \mathbb {R} ^{n}$
Zekeriya Ustaoglu
wiley +1 more source
Microlocal limits of plane waves and Eisenstein functions
, 2013 We study microlocal limits of plane waves on noncompact Riemannian manifolds (M,g) which are either Euclidean or asymptotically hyperbolic with curvature -1 near infinity.
Dyatlov, Semyon, Guillarmou, Colin
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Microlocal analysis of some isospectral deformations [PDF]
Transactions of the American Mathematical Society, 1994 We study the microlocal structure of the examples of isospectral deformations of Riemannian manifolds given by D. DeTurck and C. Gordon in [DeT-Gl]. The Schwartz kernel of the intertwining operators considered by them may be written as an oscillatory integral with a singular phase function and product type amplitude.
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Off‐diagonal estimates for the helical maximal function
Proceedings of the London Mathematical Society, Volume 128, Issue 4, April 2024.Abstract The optimal Lp→Lq$L^p \rightarrow L^q$ mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analysis and, in particular, a localised version of the Bennett–Carbery–Tao restriction theorem.
David Beltran +2 more
wiley +1 more source