Results 11 to 20 of about 13,837 (237)

FRÉCHET FRAMES, GENERAL DEFINITION AND EXPANSIONS [PDF]

, 2012
We define an (X1, Θ, X2)-frame with Banach spaces X2 ⊆ X1, ‖ ⋅ ‖1 ≤ ‖ ⋅ ‖2, and a BK-space . Then by the use of decreasing sequences of Banach spaces and of sequence spaces , we define a General Frechet frame on the Frechet space .
Stevan Pilipovi'c, D. Stoeva
semanticscholar   +1 more source

Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations [PDF]

, 1999
By extending the concept of Euler-angle rotations to more than three dimensions, we develop the systematics under rotations in higher-dimensional space for a novel set of hyperspherical harmonics.
Dmitry Green, Smirnov Yu. F., Thomas A. Heim   +2 more
core   +3 more sources

Spherical evolution of the generalized harmonic gauge formulation of general relativity on compactified hyperboloidal slices [PDF]

Physical Review D
We report on the successful numerical evolution of the compactified hyperboloidal initial value problem in general relativity using generalized harmonic gauge. We work in spherical symmetry, using a massless scalar field to drive dynamics.
Christian Peterson, Shalabh Gautam, Alex Van'o-Vinuales, D. Hilditch   +3 more
semanticscholar   +1 more source

Quantum theta functions and Gabor frames for modulation spaces [PDF]

, 2008
Representations of the celebrated Heisenberg commutation relations in quantum mechanics and their exponentiated versions form the starting point for a number of basic constructions, both in mathematics and mathematical physics (geometric quantization ...
A. Connes, A. Connes, A. Connes, A. Ron, A. Weil, A.J.E.M. Janssen, A.J.E.M. Janssen, A.J.E.M. Janssen, A.J.E.M. Janssen, D. Gabor, D.C. Farden, E.C. Young, F. Boca, Franz luef, G.B. Folland, H. Reiter, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, H.G. Feichtinger, I. Daubechies, I. Daubechies, I. Daubechies, J.-i. Igusa, K. Gröchenig, K. Gröchenig, K. Gröchenig, K. Seip, M. Frank, M. Reiter, M. Reiter, M.A. Rieffel, M.A. Rieffel, M.A. Rieffel, M.A. Rieffel, M.J. Bastiaans, R. Howe, R.G. Littlejohn, R.J. Duffin, S.M. Sussman, W. Schempp, Yuri I. Manin   +41 more
core   +4 more sources

Dynamical analysis of a fractional-order nonlinear two-degree-of-freedom vehicle system by incremental harmonic balance method

Journal of Low Frequency Noise Vibration and Active Control, 2023
At present, there are few studies considering both nonlinear and fractional characteristics of suspension in vehicle systems. In this paper, a fractional nonlinear model of a quarter vehicle with two-degree-of-freedom (2-DOF) is innovatively proposed to ...
Yujian Chang, Yuxiao Zhu, Yongkuan Li, Mei-qi Wang   +3 more
semanticscholar   +1 more source

Converting between the Cartesian tensor and spherical harmonic expansion of solutions to the Boltzmann equation

Journal of Plasma Physics, 2022
The Vlasov–Fokker–Planck (VFP) equation, a variant of the Boltzmann equation, is frequently used to model the dynamics of laboratory and astrophysical plasmas.
Nils W. Schween, B. Reville
semanticscholar   +1 more source

On the truncation of the harmonic oscillator wavepacket [PDF]

, 2005
We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the non-significant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator ...
Ali S T, Ali S T, Christensen O, Duffin R J, Gröchening K, Han D Larson D R, Kaiser G, L Rebollo-Neira, Rebollo-Neira L, Rebollo-Neira L, S Jain, Young R M   +11 more
core   +3 more sources

Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]

, 2007
We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras.
Gröchenig, Karlheinz, Rzeszotnik, Ziemowit   +1 more
core   +3 more sources

Time-harmonic response of transversely isotropic and layered poroelastic half-spaces under general buried loads

, 2020
A semi-analytical method is developed for solving the dynamic response of transversely isotropic, multilayered, and poroelastic half-spaces with different surface hydraulic conditions and subjected to time-harmonic vertical and horizontal loads buried in
Zhiqing Zhang, E. Pan
semanticscholar   +1 more source

Uncertainty Principles and Vector Quantization

, 2010
Given a frame in C^n which satisfies a form of the uncertainty principle (as introduced by Candes and Tao), it is shown how to quickly convert the frame representation of every vector into a more robust Kashin's representation whose coefficients all have
Lyubarskii, Yurii, Vershynin, Roman
core   +1 more source