scholarly journals Microscopic anisotropy misestimation in spherical-mean single diffusion encoding MRI

2019 ◽  
Vol 81 (5) ◽  
pp. 3245-3261 ◽  
Author(s):  
Rafael Neto Henriques ◽  
Sune N. Jespersen ◽  
Noam Shemesh
Keyword(s):  
Spherical Mean

scholarly journals Linking spherical mean diffusion weighted signal with intra-axonal volume fraction

2019 ◽  
Vol 57 ◽  
pp. 75-82 ◽  
Author(s):  
Hua Li ◽  
Ho Ming Chow ◽  
Diane C. Chugani ◽  
Harry T. Chugani
Keyword(s):  
Volume Fraction ◽  
Diffusion Weighted ◽  
Spherical Mean

scholarly journals Spaces ofDLptype and a convolution product associated with the spherical mean operator

2005 ◽  
Vol 2005 (3) ◽  
pp. 357-381 ◽  
Author(s):  
M. Dziri ◽  
M. Jelassi ◽  
L. T. Rachdi
Keyword(s):  
Harmonic Analysis ◽  
Dual Space ◽  
Convolution Product ◽  
Spherical Mean Operator ◽  
Spherical Mean

We define and study the spacesℳp(ℝ×ℝn),1≤p≤∞, that are ofDLptype. Using the harmonic analysis associated with the spherical mean operator, we give a new characterization of the dual spaceℳ′p(ℝ×ℝn)and describe its bounded subsets. Next, we define a convolution product inℳ′p(ℝ×ℝn)×Mr(ℝ×ℝn),1≤r≤p<∞, and prove some new results.

scholarly journals Exact solution of spherical mean-field plus special orbit-dependent non-separable pairing model with multi non-degenerate j-orbits

2019 ◽  
Vol 795 ◽  
pp. 165-171 ◽  
Author(s):  
Feng Pan ◽  
Dan Zhou ◽  
Yingwen He ◽  
Siyu Yang ◽  
Yunfeng Zhang ◽  
...  
Keyword(s):  
Exact Solution ◽  
Mean Field ◽  
Spherical Mean ◽  
Pairing Model

scholarly journals Regularity of mean-values

1988 ◽  
Vol 45 (1) ◽  
pp. 117-126
Author(s):  
Christopher Meaney
Keyword(s):  
Euclidean Space ◽  
Mean Value ◽  
Dimensional Sphere ◽  
Mean Values ◽  
Regular Elements ◽  
Integrable Functions ◽  
Spherical Mean ◽  
Group Of Isometries ◽  
Simply Connected ◽  
Connected Lie Group

AbstractLetXbe either thed-dimensional sphere or a compact, simply connected, simple, connected Lie group. We define a mean-value operator analogous to the spherical mean-value operator acting on integrable functions on Euclidean space. The value of this operator will be written as ℳf(x, a), wherex∈Xandavaries over a torusAin the group of isometries ofX. For each of these cases there is an intervalpO<p≦ 2, where thep0depends on the geometry ofX, such that iffis inLp(X) then there is a set full measure inXand ifxlies in this set, the function a ↦ℳf(x, a) has some Hölder continuity on compact subsets of the regular elements ofA.

Sign in / Sign up

Export Citation Format

Share Document