Results 11 to 20 of about 12,448 (220)

Spectral theory of bounded linear operators [PDF]

open access: yes, 2020
This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and
Kubrusly, Carlos S
core   +1 more source

A commutative noncommutative fractal geometry [PDF]

open access: yes, 2011
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
core   +1 more source

Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]

open access: yes, 2005
This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der   +4 more
core   +1 more source

A Further Study on the Degree-Corrected Spectral Clustering under Spectral Graph Theory [PDF]

open access: yes, 2022
Spectral clustering algorithms are often used to find clusters in the community detection problem. Recently, a degree-corrected spectral clustering algorithm was proposed.
Wei Li, Fangmeng Liu, Yiwen Zhong
core   +1 more source

Spectral Sequences In Conleys Theory [PDF]

open access: yes, 2015
In this paper, we analyse the dynamics encoded in the spectral sequence (Er,dr) associated with certain Conley theory connection maps in the presence of an action type filtration.
Da Silveira M.R.   +2 more
core   +1 more source

Spectral Theory of Operators on Hilbert Spaces [PDF]

open access: yes, 2012
This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the ...
Kubrusly, Carlos S
core   +1 more source

Elements of a metric spectral theory [PDF]

open access: yes, 2022
This paper discusses a general method for spectral type theorems using metric spaces instead of vector spaces. Advantages of this approach are that it applies to genuinely non-linear situations and also to random versions. Metric analogs of operator norm,
Karlsson, Anders,
core   +1 more source

International Conference on Spectral Theory and Mathematical Physics [PDF]

open access: yes, 2016
The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014.
Raikov, Georgi   +2 more
core   +1 more source

On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]

open access: yes, 2011
This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...
Werndl, Charlotte   +3 more
core   +1 more source

A survey of kernel and spectral methods for clustering [PDF]

open access: yes, 2007
Clustering algorithms are a useful tool to explore data structures and have been employed in many disciplines. The focus of this paper is the partitioning clustering problem with a special interest in two recent approaches: kernel and spectral methods ...
Masulli, F.   +11 more
core   +1 more source

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