Results 11 to 20 of about 118 (38)
Convolution on distribution spaces characterized by regularization
Mathematische Nachrichten, Volume 296, Issue 5, Page 1938-1963, May 2023., 2023 Abstract Locally convex convolutor spaces are studied which consist of those distributions that define a continuous convolution operator mapping from the space of test functions into a given locally convex lattice of measures. The convolutor spaces are endowed with the topology of uniform convergence on bounded sets.
Tillmann Kleiner, Rudolf Hilfer
wiley +1 more source
Injectivity results for coarse homology theories
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1619-1684, December 2020., 2020 Abstract We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more generally, groups with finite decomposition complexity.
Ulrich Bunke +3 more
wiley +1 more source
Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We introduce the wave front set WF*P(u) with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u ∈ 𝒟′(Ω) in an open set Ω in the setting of ultradifferentiable classes of Braun, Meise, and Taylor.
C. Boiti +3 more
wiley +1 more source
Properties of field functionals and characterization of local functionals [PDF]
, 2017 Functionals (i.e. functions of functions) are widely used in quantum field theory and solid-state physics. In this paper, functionals are given a rigorous mathematical framework and their main properties are described.
Bertram W. +43 more
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On ordered topological vector groups - new results [PDF]
, 2022 The theory of ordered topological vector spaces has been treated in a great number of articles and books. On the other hand, topological vector groups were introduced and studied by D. A. Raikov [On B-complete topological vector groups, Studia Math.
Fabiano, Nicola +3 more
core
Two classes of generalized functions used in nonlocal field theory
, 2006 We elucidate the relation between the two ways of formulating causality in nonlocal quantum field theory: using analytic test functions belonging to the space $S^0$ (which is the Fourier transform of the Schwartz space $\mathcal D$) and using test ...
A. P. Robertson +23 more
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Equivariant coarse homotopy theory and coarse algebraic $\boldsymbol{K}$-homology [PDF]
, 2020 We study equivariant coarse homology theories through an axiomatic framework. To this end we introduce the category of equivariant bornological coarse spaces and construct the universal equivariant coarse homology theory with values in the category of ...
Bunke, U. +3 more
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kk-Theory for Banach Algebras I: The Non-Equivariant Case [PDF]
, 2014 kk$^{\text{ban}}$ is a bivariant K-theory for Banach algebras that has reasonable homological properties, a product and is Morita invariant in a very general sense.
Paravicini, Walther
core
Mapping analytic surgery to homology, higher rho numbers and metrics of positive scalar curvature
, 2021 Let $\Gamma$ be a f.g. discrete group and let $\tilde M$ be a Galois $\Gamma$-covering of a smooth closed manifold $M$. Let $S_*^\Gamma(\tilde{M})$ be the analytic structure group, appearing in the Higson-Roe analytic surgery sequence $\to S_*^\Gamma ...
Piazza, Paolo +2 more
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Translaciono invarijantni Banahovi prostori distribucija i granične vrednosti preko integralne transformacije [PDF]
, 2013 We use common notation ∗ for distribution (Scshwartz), (Mp) (Beurling) i {Mp} (Roumieu) setting. We introduce and study new (ultra) distribution spaces, the test function spaces D∗E and their strong duals D'∗E’*.These spaces generalize the spaces D∗Lq ,
Димовски Павел
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