bachelorThesis
Transformada de Fourier para hipercomplexos
Fecha
2017Registro en:
COSTA, Douglas de Brito. Transformada de Fourier para hipercomplexos. 2017. Trabalho de Conclusão de Curso (Licenciatura em Matemática) – Universidade Tecnológica Federal do Paraná, Cornélio Procópio, 2017.
Autor
Costa, Douglas de Brito
Resumen
The Fourier Transform has several applications in solving problems that involve Differential Equations and, besides being object of study in certain areas of knowledge, allows a generalization for the Complex Numbers set(C). In this way, it is interesting to study possible generalizations of the transform for the Hypercomplex sets. Therefore, in the present work we willdevote ourselves to the study of an alternative of the Fourier transform for the Hypercomplexes, from previous works [6], aiming at a generalization of the transform for the set of octonions, an8-dimensional vector space, endowed with addition and multiplication, but not commutative in this last operation.