grandes-ecoles 2015 QV.A.2

grandes-ecoles · France · centrale-maths1__mp Groups Group Homomorphisms and Isomorphisms

We now assume that $f$ satisfies the hypotheses allowing us to define its Radon transform.
Demonstrate that if two lines $\Delta\left(q_1, \vec{u}_{\theta_1}\right)$ and $\Delta\left(q_2, \vec{u}_{\theta_2}\right)$ coincide, then $\hat{f}\left(q_1, \theta_1\right) = \hat{f}\left(q_2, \theta_2\right)$.

We now assume that $f$ satisfies the hypotheses allowing us to define its Radon transform.

Demonstrate that if two lines $\Delta\left(q_1, \vec{u}_{\theta_1}\right)$ and $\Delta\left(q_2, \vec{u}_{\theta_2}\right)$ coincide, then $\hat{f}\left(q_1, \theta_1\right) = \hat{f}\left(q_2, \theta_2\right)$.

Paper Questions

QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.A.5 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QI.C.1 QI.C.2 QI.C.3 QI.C.4 QII.A.1 QII.A.2 QII.A.3 QII.A.4 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QIII.A QIII.B QIII.C.1 QIII.C.2 QIII.C.3 QIV.A.1 QIV.A.2 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2 QIV.C.3 QIV.D.1 QIV.D.2 QIV.D.3 QV.A.1 QV.A.2 QV.A.3 QV.B.1 QV.B.2