A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
A note on generalized Weyl-Heisenberg frames

1994
*
Applied Mathematics Letters
*

In this note, the concept

doi:10.1016/0893-9659(94)90117-1
fatcat:ot3wtl2hrjchtac5dw34xdbjk4
*of*Weyl-Heisenberg*frames*is generalized to some specific locally compact groups. An existence theorem based on certain subgroups is proved. ...*A**discrete*subgroup that yields*a*compact quotient space is sometimes called*a*un$~m*lattice*. Such*a*uniform*lattice*often exists, see [8] for details. ... Therefore, we define*a*generalized Weyl-Heisenberg*frame*for L2(G, dmG) by means*of*these unitary*representations*and the action*of*another*discrete*set H c G, i.e., we say that 4 generates*a*Weyl-Heisenberg ...##
###
On sufficient density conditions for lattice orbits of relative discrete series
[article]

2021
*
arXiv
*
pre-print

This note provides new criteria on

arXiv:2112.05502v1
fatcat:y25b74hb7zdo3p4yoa5zqmfkw4
*a*unimodular group G and*a**discrete*series*representation*(π, ℋ_π)*of*formal degree d_π > 0 under which any*lattice*Γ≤ G with vol(G/Γ) d_π≤ 1 (resp. vol(G/Γ) d_π≥ 1) ... admits g ∈ℋ_π such that π(Γ) g is*a**frame*(resp. ... Acknowledgements U.E. gratefully acknowledges support from the The Research Council*of*Norway through project 314048. ...##
###
Page 3447 of Mathematical Reviews Vol. , Issue 97F
[page]

1997
*
Mathematical Reviews
*

The

*lattice*L is then recovered as*a*set*of*continuous order-preserving maps from its dual space into the 2- element chain,*discretely*topologised. ... Comer (1-CITA; Charleston, SC) 97f:06014 06B15 06B10 PloStica, Miroslav (SK-AOS2; KoSice)*A*natural*representation**of*bounded*lattices*. ...##
###
Discrete Weyl–Heisenberg transforms

1996
*
Journal of Mathematical Physics
*

Phys. 47, 063501 (2006) Quaternionic root systems and subgroups

doi:10.1063/1.531603
fatcat:le5w7dfzgfa65ixyqfpapy6pgu
*of*the Aut(F4) J. Math. Phys. 47, 043507 (2006)*A*note on monopole moduli spaces J. Math. ... The concepts*of*von Neumann*lattices*and tight*frames*are used for defining*discrete*quantum mechanical transforms in the phase plane. ... Also in this approximation the*frame*operator FhN'=N gives the number*of*the WH set states in*a*unit cell*of*the VNG*lattice*. ...##
###
Page 522 of American Society of Civil Engineers. Collected Journals Vol. 119, Issue 2
[page]

1993
*
American Society of Civil Engineers. Collected Journals
*

By utilizing the repetitive pattern

*of*these*lattice*structures, con- tinuum*representations*can yield finite-element models that have signifi- cantly fewer degrees*of*freedom than those generated using ... The idea*of*using continuum models to approximate the response*of**a**discrete*model existed before computers were invented. ...##
###
PULSED BEAM EXPANSION OF ELECTROMAGNETIC APERTURE FIELDS

2011
*
Electromagnetic Waves
*

The propagating field is described as

doi:10.2528/pier11012001
fatcat:yyfev52nszbzzoqp4fazgro5uy
*a**discrete*superposition*of*tilted, shifted and delayed electromagnetic pulsed-beam waveobjects over the*frame*spectral*lattice*. ... The present contribution is concerned with an exact*frame*-based pulsed-beams expansion*of*planar aperture timedependent electromagnetic fields. ...*Discrete**frame*spectral*lattice*. ...##
###
Dual Gabor frames: theory and computational aspects

2005
*
IEEE Transactions on Signal Processing
*

Therefore, all results in Gabor analysis that are based on the positivity

doi:10.1109/tsp.2005.857049
fatcat:24ouyedrirhdnmnwwudlmmlcw4
*of*the*frame*operator cannot be applied directly. ... The advantage*of*the proposed characterization is that the algebraic system for computing the Gabor dual elements preserves the high structure*of*usual Gabor*frames*, leading to computationally efficient ... The first author would like also to thank the people from the department*of*electrical engineering*of*the Technion for their great hospitality and support during his stay in Haifa. ...##
###
A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers

2009
*
Advances in Mathematical Physics
*

As physical systems in each

doi:10.1155/2009/452738
fatcat:apktjzev5neorivo4nbfenwnau
*frame*the strings have*a**discrete*Schrodinger dynamics on the*lattices*. ...*A*discussion*of*parent*frame*images includes the proposal that points*of*stagejframe*lattices*have images as hybrid systems in parent*frames*. ... Space and Time*Lattices*in Reference*Frames**A*first step in this direction is to expand the domain*of*each*frame*in the field to include*discrete**lattices**of*space and time. ...##
###
The density theorem for discrete series representations restricted to lattices
[article]

2021
*
arXiv
*
pre-print

This article considers the relation between the spanning properties

arXiv:2003.08347v3
fatcat:wuy6djhslvcexm3jb5ax23gsr4
*of**lattice*orbits*of**discrete*series*representations*and the associated*lattice*co-volume. ... The focus is on the density theorem, which provides*a*trichotomy characterizing the existence*of*cyclic vectors and separating vectors, and*frames*and Riesz sequences. ... Let Γ ⊆ G be*a**lattice*and let (π, H π ) be*a**discrete*series σ*representation**of*G*of*formal dimension d π > 0. ...##
###
Frames in rotated time-frequency planes

1999
*
1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)
*

Weyl-Heisenberg

doi:10.1109/icassp.1999.756231
dblp:conf/icassp/BultanA99
fatcat:5n2lptvcfbaa3mftabq7bhbjr4
*frames*are complete signal*representations*corresponding to rectangular tiling*of*the time-frequency plane. ... Extensions*of*these*frames*are obtained in the rotated time-frequency planes by using the fractional Fourier transformation. It is shown that rotation does not affect the*frame*bounds. ... Using the unitary property*of*the FRFT, it is shown that rotation does not change the*frame*bounds. At some*discrete*angles,*a**lattice*mapping from rotated to Cartesian coordinates is obtained. ...##
###
Coupling non-gravitational fields with simplicial spacetimes

2010
*
Classical and quantum gravity
*

The inclusion

doi:10.1088/0264-9381/27/9/095011
fatcat:vazkyhjkuzg67d5aslyekhwr3m
*of*source terms in*discrete*gravity is*a*long-standing problem. ... RC provides*a*particularly insightful approach to this problem with its purely geometric*representation**of*spacetime. ... One*of*us (JRM) would also like to acknowledge partial support from NSF grant 0638662 and DFG grant SFB/TR7 "Gravitational Wave Astronomy". ...##
###
A pulsed beam summation formulation for short pulse radiation based on windowed Radon transform (WRT) frames

2005
*
IEEE Transactions on Antennas and Propagation
*

We introduce

doi:10.1109/tap.2005.854550
fatcat:krr3moaqlrgxnm5gqvc2sw7axa
*a*novel formulation for short pulse radiation from an expanded aperture distribution, wherein the field is expanded, directly in the time-domain (TD) into*a**discrete**lattice**of*shifted, tilted ... The formulation is based on*a*new class*of**frames*, termed WRT*frames*. ... Figure 1 : 1 (*a*) The PB summation*representation**of*(5). (b) The*discrete*W-SST (or WRT) illustrated in the space-time data domain u 0 (x, t). ...##
###
Coherent systems over approximate lattices in amenable groups
[article]

2022
*
arXiv
*
pre-print

For

arXiv:2208.05896v1
fatcat:rldmhuujw5bv5kwwlpxumkdpjy
*a*projective*discrete*series*representation*(π, ℋ_π)*of*G*of*formal degree d_π > 0, we show that D^-(Λ) ≥ d_π / k is necessary for the coherent system π(Λ) g to be complete in ℋ_π. ... Let G be*a*second-countable amenable group with*a*uniform k-approximate*lattice*Λ. ... Acknowledgements U.E. gratefully acknowledges support from the The Research Council*of*Norway through project 314048. ...##
###
Asymptotic Boundary Forms for Tight Gabor Frames and Lattice Localization Domains

2015
*
Journal of Applied Mathematics and Physics
*

We consider Gabor localization operators G , φ Ω defined by two parameters, the generating function φ

doi:10.4236/jamp.2015.310160
fatcat:kz5fgcnj55cwfjc7vt2yxpoeba
*of**a*tight Gabor*frame*{ } λ λ φ ∈Λ , indexed by*a**lattice*1 2 ... Acknowledgments The authors would like to thank ESI (Erwin Schrödinger Institute, University*of*Vienna), where the joint work on this paper began (Thematic Programme: Modern Methods*of*Time-Frequency Analysis ... II), and CIRM (Centre international de recontres mathématique, Luminy, Marseille), where the three authors had the chance to complete their work during the period*of*Hans Feichtinger's Morlet Chair. ...##
###
Discrete directional wavelet bases for image compression

2003
*
Visual Communications and Image Processing 2003
*

In this paper,

doi:10.1117/12.509905
fatcat:mbvexuc26jgs7a26pys2tcgcfa
*a*new truly separable*discrete*multi-directional transform is proposed with*a*subsampling method based on*lattice*theory. ... The application*of*the wavelet transform in image processing is most frequently based on*a*separable construction. ... While the design*of*multi-directional*frames*is pretty straightforward, 2 the construction*of*multi-directional bases having good*representation*properties presents*a*more difficult challenge due to the ...
« Previous

*Showing results 1 — 15 out of 36,640 results*