Results 21 to 30 of about 361,955 (117)
Factor posets of frames and dual frames in finite dimensions [PDF]
Involve, a Journal of Mathematics, 2016 This work was completed during the 2012 Central Michigan University NSF-REU program ...
Berry, Kileen +6 more
openaire +4 more sources
Entailment systems for stably locally compact locales [PDF]
, 2004 The category SCFrU of stably continuous frames and preframe ho-momorphisms (preserving ¯nite meets and directed joins) is dual to the Karoubi envelope of a category Ent whose objects are sets and whose morphisms X !
Vickers, Steven
core +1 more source
On frames, dual frames, and the duality principle [PDF]
Novi Sad Journal of Mathematics, 2015 Frames in Hilbert spaces generalize orthonormal bases and allow stable representation of all the elements of the space via a given frame and its dual frame. Frames are not only interesting from theoreti- cal point of view, but play signicant role in signal and image processing, which leads to many applications in informatics, engineering, medicine, and
openaire +1 more source
Dual earthquake resistant frames [PDF]
WIT Transactions on The Built Environment, 2009 Structural control through energy dissipation systems has been increasingly implemented internationally in recent years and has proven to be a most promising strategy for the earthquake safety of structures. In extending the “classical” approach of the capacity design for earthquake structural resistance, the integration of passive damping devices ...
Sophocleous, T. L. +3 more
openaire +2 more sources
Redundancy of Fusion frames in Hilbert Spaces
, 2015 Upon improving and extending the concept of redundancy of frames, we introduce the notion of redundancy of fusion frames, which is concerned with the properties of lower and upper redundancies. These properties are achieved by considering the minimum and
Daraby, Bayaz +2 more
core +1 more source
Co-compact Gabor systems on locally compact abelian groups [PDF]
, 2015 In this work we extend classical structure and duality results in Gabor analysis on the euclidean space to the setting of second countable locally compact abelian (LCA) groups.
Jakobsen, Mads Sielemann, Lemvig, Jakob
core +1 more source
Pseudo-Duals of Frames with Applications
Applied and Computational Harmonic Analysis, 2001 AbstractWe show that there are duals {x*n} to a given (nonexact) frame {xn} that are not usual frames. In particular, these duals are not Bessel sequences. We call them pseudo-duals. A characterization and a constructions of pseudo-duals are given. Examples and potential applications of pseudo-dual theory are discussed.
Shidong Li, Hidemitsu Ogawa
openaire +2 more sources
Implementation of Discretized Gabor Frames and Their Duals [PDF]
IEEE Transactions on Information Theory, 2016 16 pages, 4 ...
Karlheinz Gröchenig +2 more
openaire +4 more sources
Designing Gabor windows using convex optimization
, 2018 Redundant Gabor frames admit an infinite number of dual frames, yet only the canonical dual Gabor system, constructed from the minimal l2-norm dual window, is widely used. This window function however, might lack desirable properties, e.g.
Balazs, Peter +3 more
core +1 more source
Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing [PDF]
, 2018 For the solution of operator equations, Stevenson introduced a definition of frames, where a Hilbert space and its dual are {\em not} identified. This means that the Riesz isomorphism is not used as an identification, which, for example, does not make ...
Balazs, Peter, Harbrecht, Helmut
core +3 more sources