Hilbert's Basis
This is the thesis i wrote for my Bachelor's degree in Physics.
In the first part of the thesis, the formalism of the Hilbert spaces is introduced, with many theorems and definitions. Than, in the second part of the thesis, the most important Hilbert's basis are investigated. Finally, in the last part of the thesis, some applications of the Hilbert's Basis are introduced, such as for example the analysis of the Cosmological Microwave Background or the use of Spherical Harmonics for Illumination in 3D rendering.
Unfortunately, the thesis is in Italian.
In the first part of the thesis, the formalism of the Hilbert spaces is introduced, with many theorems and definitions. Than, in the second part of the thesis, the most important Hilbert's basis are investigated. Finally, in the last part of the thesis, some applications of the Hilbert's Basis are introduced, such as for example the analysis of the Cosmological Microwave Background or the use of Spherical Harmonics for Illumination in 3D rendering.
Unfortunately, the thesis is in Italian.
| hilberts_basis.pdf |
