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# Topics on Function Spaces and Multilinear Algebra

Mahdi Hormozi (Institutionen för matematiska vetenskaper)
Göteborg : University of Gothenburg, 2013. - 56 s.
[Licentiatavhandling]

The present thesis consists of three different papers. Indeed, they treat two different research areas: function spaces and multilinear algebra. In paper I, a characterization of continuity of the $p$-$\Lambda$-variation function is given and Helly's selection principle for $\Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on the modulus of variation of functions of class $\Lambda BV^{(p)}$ is found. In paper II, a characterization of the inclusion of Waterman-Shiba classes into $H_{\omega}^{q}$ is given. This corrects and extends an earlier result of a paper from 2005. In paper III, we discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with semi-dihedral groups $SD_{8n}$. The dimensions of these symmetry classes of tensors are also computed.

Denna post skapades 2015-04-20. Senast ändrad 2015-04-20.
CPL Pubid: 215398

# Institutioner (Chalmers)

Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

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# Examination

Datum: 2013-03-21
Tid: 13:15
Lokal: Euler, Matematiska vetenskaper, Chalmers Tvärgata 3
Opponent: Professor Sandra Pott