grandes-ecoles 2012 QIII.C.7

grandes-ecoles · France · centrale-maths1__mp Sequences and Series Properties and Manipulation of Power Series or Formal Series
Determine the set of functions $g \in C_{b}(\mathbb{R})$ such that $N_{g}$ has finite codimension in $L^{1}(\mathbb{R})$. 
Determine the set of functions $g \in C_{b}(\mathbb{R})$ such that $N_{g}$ has finite codimension in $L^{1}(\mathbb{R})$.
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