منابع مشابه
Spectral Tetris Fusion Frame Constructions
Spectral tetris is a flexible and elementary method to derive unit norm frames with a given frame operator having all of its eigenvalues ≥ 2. One important application of this method is to construct fusion frames. We will give necessary and sufficient conditions for a spectral tetris construction to give a fusion frame with prescribed eigenvalues for its fusion frame operator and with prescribe...
متن کاملWeighted fusion frame construction via spectral tetris
Fusion frames consist of a sequence of subspaces from a Hilbert space and corresponding positive weights so that the sum of weighted orthogonal projections onto these subspaces is an invertible operator on the space. Given a spectrum for a desired fusion frame operator and dimensions for subspaces, one existing method for creating unitweight fusion frames with these properties is the flexible a...
متن کاملRelativistic Quantum Mechanics Through Frame-Dependent Constructions
This paper is concerned with the possibility and nature of relativistic hidden-variable formulations of quantum mechanics. Both ad hoc teleological constructions of spacetime maps and frame-dependent constructions of spacetime maps are considered. While frame-dependent constructions are clearly preferable, they provide neither mechanical nor causal explanations for local quantum events. Rather,...
متن کاملMinimizing Fusion Frame Potential
Fusion frames are an emerging topic of frame theory, with applications to encoding and distributed sensing. However, little is known about the existence of tight fusion frames. In traditional frame theory, one method for showing that unit norm tight frames exist is to characterize them as the minimizers of an energy functional, known as the frame potential. We generalize the frame potential to ...
متن کاملA new building acoustical concept for lightweight timber frame constructions
In this paper, a new building concept for multi-family lightweight timber frame housing is proposed. This concept combines party walls, floors and façade elements ensuring comfort levels equal or better than currently encountered in typical Belgian heavy constructions. Low frequency behaviour and prefabrication potential were the key points in the design process of the new wall and floor types....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fourier Analysis and Applications
سال: 2012
ISSN: 1069-5869,1531-5851
DOI: 10.1007/s00041-012-9225-6