A Theory of Extended Pseudo-Biorthogonal Bases

スポンサーリンク

概要

• 論文の詳細を見る

• This paper introduces the concept of an "extended pseudo-biorthogonal basis" (EPBOB), which is a generalization of the concepts of an orthonormal (OB), a biorthonormal (BOB), a pseudo-orthogonal (POB), and a pseudo-biorthogonal (PBOB) bases. Let H_N be a subspace of a Hilbert space H. The concept of EPBOB says that we can always construct a set of 2M (M≧N) elements of H but not necessarily all in H_N such that like BOB any element f in H_N can be expressed by f=Σ^^M__m=1(f,φ^mφm. For a better understanding and a wide application of EPBOB, this paper provides their characterization and shows how they preserve the formalism of BOB. It also shows how to construct them.

• 社団法人電子情報通信学会の論文
• 1993-08-25

著者

• Ogawa Hidemitsu

  Faculty Of Engineering Tokyo Institute Of Technology

• Berrached Nasr-Eddine

  Faculty of Engineering, Tokyo Institute of Technology

• Berrached N‐e

  Univ. Sci. And Technol. In Oran Dza

関連論文

• Extended Pseudo-Biorthogonal Bases of Type O and Type L
• A Theory of Extended Pseudo-Biorthogonal Bases

スポンサーリンク