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of 75
pro vyhledávání: '"Sharafutdinov, Vladimir"'
The momentum ray transform $I_m^k$ integrates a rank $m$ symmetric tensor field $f$ on ${\mathbb R}^n$ over lines with the weight $t^k$, $I_m^kf(x,\xi)=\int_{-\infty}^\infty t^k\langle f(x+t\xi),\xi^m\rangle\,\mathrm{d}t$. Let $N^k_m=(I^k_m)^*I^k_m$
Externí odkaz:
http://arxiv.org/abs/2408.08085
The ray transform $I$ integrates symmetric $m$-tensor field in $\mathbb{R}^n$ over lines. This transform in Sobolev spaces was studied in our earlier work where higher order Reshetnyak formulas (isometry relations) were established. The main focus of
Externí odkaz:
http://arxiv.org/abs/2401.05230
The momentum ray transform $I_m^k$ integrates a rank $m$ symmetric tensor field $f$ on $\mathbb R^n$ over lines with the weight $t^k$, $I_m^kf(x,\xi)=\int_{-\infty}^\infty t^k\langle f(x+t\xi),\xi^m\rangle\,\mathrm{d}t$. We compute the normal operato
Externí odkaz:
http://arxiv.org/abs/2401.00791
A new important relation between fluid mechanics and differential geometry is established. We study smooth steady solutions to the Euler equations with the additional property: the velocity vector is orthogonal to the gradient of the pressure at any
Externí odkaz:
http://arxiv.org/abs/2209.14572
For an integer $r\ge0$, we prove the $r$th order Reshetnyak formula for the ray transform of rank $m$ symmetric tensor fields on $\mathbb{R}^n$. Certain differential operators $A^{(m,r,l)}\ (0\le l\le r)$ on the sphere $\mathbb{S}^{n-1}$ are main ing
Externí odkaz:
http://arxiv.org/abs/2106.11624
Autor:
Sharafutdinov, Vladimir A.
A rank $m$ symmetric tensor field on a Riemannian manifold is called a Killing field if the symmetric part of its covariant derivative is equal to zero. Such a field determines the first integral of the geodesic flow which is a degree $m$ homogeneous
Externí odkaz:
http://arxiv.org/abs/2011.09603
We consider the Steklov zeta function $\zeta$ $\Omega$ of a smooth bounded simply connected planar domain $\Omega$ $\subset$ R 2 of perimeter 2$\pi$. We provide a first variation formula for $\zeta$ $\Omega$ under a smooth deformation of the domain.
Externí odkaz:
http://arxiv.org/abs/2004.01779
The momentum ray transform $I^k$ integrates a rank $m$ symmetric tensor field $f$ over lines of ${\R}^n$ with the weight $t^k$: $ (I^k\!f)(x,\xi)=\int_{-\infty}^\infty t^k\l f(x+t\xi),\xi^m\r\,dt. $ We give the range characterization for the operator
Externí odkaz:
http://arxiv.org/abs/1909.07682
Autor:
Sharafutdinov, Vladimir
Publikováno v:
Siberian Electronic Math. Reports, 2016, V. 13, 144-177
The problem of evaluating heat invariants can be computerized. Geometric symbol calculus of pseudodifferential operators is the main tool of such computerization.
Externí odkaz:
http://arxiv.org/abs/1903.11230
The momentum ray transform $I^k$ integrates a rank $m$ symmetric tensor field $f$ over lines with the weight $t^k$: $ (I^k\!f)(x,\xi)=\int_{-\infty}^\infty t^k\langle f(x+t\xi),\xi^m\rangle\,dt. $ In particular, the ray transform $I=I^0$ was studied
Externí odkaz:
http://arxiv.org/abs/1808.00768