Orthogonality and Mathematical Physics: Applied orthogonality of functions - Softcover

Olariu, Valter Vasile; Olteanu, Cristian Octav

 
9786139587070: Orthogonality and Mathematical Physics: Applied orthogonality of functions

Synopsis

The present work shows how the notion of perpendicularity, introduced and applied by Euclid in his “Elements” in the 3rd century BC, for which the sign “⊥” has been used since 1634 firstly by the French mathematician Pierre Hérigone in one of his books, can be extended in Functional Analysis under the name of orthogonality, and how it can be applied in mathematical Physics. Knowledge in mathematical Analysis and functional Analysis are applied along the book. A special role is played by compact operators, applied in solving operatorial (integral) equations.

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