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A Spectral Sequence for Locally Free Isometric Lie Group Actions
We present a spectral sequence for free isometric Lie algebra actions (and consequently locally free isometric Lie group actions) which relates the...
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The Relative Hodge–Tate Spectral Sequence: An Overview
We give in this note an overview of a recent work (Abbes and Gros, Les suites spectrales de Hodge–Tate. Preprint, 2020....
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Multicomplexes on Carnot Groups and Their Associated Spectral Sequence
The aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence...
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FRÖLICHER SPECTRAL SEQUENCE AND HODGE STRUCTURES ON THE COHOMOLOGY OF COMPLEX PARALLELISABLE MANIFOLDS
For complex parallelisable manifolds Γ\ G , with G a solvable or semisimple complex Lie group, the Frölicher spectral sequence degenerates at the...
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Spectral Theory
The spectrum of an element of a Banach algebra is defined and shown to be a compact set with a specific formula for its spectral radius. Examples are...
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The local cohomology spectral sequence for topological modular forms
We discuss proofs of local cohomology theorems for topological modular forms, based on Mahowald–Rezk duality and on Gorenstein duality, and then make...
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Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces
We prove new inequalities for the spectral radius, essential spectral radius, operator norm, measure of noncompactness and numerical radius of...
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LHS-spectral sequences for regular extensions of categories
In (Xu, J Pure Appl Algebra 212:2555–2569, 2008), a LHS-spectral sequence for target regular extensions of small categories is constructed. We extend...
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Continuity of the spectrum of Dirac operators of spectral triples for the spectral propinquity
The spectral propinquity is a distance, up to unitary equivalence, on the class of metric spectral triples. We prove in this paper that if a sequence...
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On Spectral Sequences for the Postnikov Towers
A natural spectral sequence corresponding to a pair of a Postnikov tower (system) and a (co)homological functor from a triangulated category is...
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Distributing Persistent Homology via Spectral Sequences
We set up the theory for a distributed algorithm for computing persistent homology. For this purpose we develop linear algebra of persistence...
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Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces
We prove new inequalities for the spectral radius, essential spectral radius, operator norm, measure of noncompactness and numerical radius of...
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On Spectral Properties of Stationary Random Processes Connected by a Special Random Time Change
We consider three independent objects: a two-sided wide-sense stationary random sequence ξ := (. . . , ξ −1 , ξ 0 , ξ 1 , . . . ) with zero mean and finite...
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A measurable spectral decomposition
introduce the spectral decomposition property for measures and prove that a homeomorphism has the spectral decomposition property if and only if...
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Spectral Sides of Trace Formulae
The Arthur-Selberg trace formula, or more generally, the relative trace formula, is an important tool in automorphic representation theory. We...
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A dive into spectral inference networks: improved algorithms for self-supervised learning of continuous spectral representations
We propose a self-supervising learning framework for finding the dominant eigenfunction-eigenvalue pairs of linear and self-adjoint operators. We...
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Spectral Gradient Methods
In this chapter we report some basic results on a class of gradient methods for minimizing smooth functions, known as spectral gradient methods,...
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Spectral MV-algebras and equispectrality
In this paper we study the set of MV-algebras with given prime spectrum and we introduce the class of spectral MV-algebras. An MV-algebra is spectral...