grandes-ecoles 2012 QII.B.2

grandes-ecoles · France · centrale-maths1__mp Sequences and Series Convergence/Divergence Determination of Numerical Series
Show that there exist two functions $f$ and $g$ in $L^{1}(\mathbb{R})$ such that $f * g(0)$ is not defined. 
Show that there exist two functions $f$ and $g$ in $L^{1}(\mathbb{R})$ such that $f * g(0)$ is not defined.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QI.B.5 QI.C.1 QI.C.2 QI.C.3 QI.D.1 QI.D.2 QI.D.3 QI.D.4 QII.A QII.B.1 QII.B.2 QII.C.1 QII.C.2 QII.C.3 QII.D.1 QII.D.2 QIII.A.1 QIII.A.2 QIII.A.3 QIII.A.4 QIII.B.1 QIII.B.2 QIII.C.1 QIII.C.2 QIII.C.3 QIII.C.4 QIII.C.5 QIII.C.6 QIII.C.7