Jonathan R. Partington, Linear Operators and Linear Systems, An Analytical Approach to Control Theory, (2004) London Mathematical Society Student Texts 60, Cambridge University Press.
Marvin Rosenblum and James Rovnyak, Hardy Classes and Operator Theory, (1985) Oxford University Press.
beurling, theorem, mathematics, theorem, beurling, 1949, 1959, which, characterizes, shift, invariant, subspaces, hardy, space, displaystyle, mathbb, mathbb, states, that, each, such, space, form, displaystyle, theta, mathbb, mathbb, some, inner, function, dis. In mathematics the Beurling Lax theorem is a theorem due to Beurling 1949 and Lax 1959 which characterizes the shift invariant subspaces of the Hardy space H 2 D C displaystyle H 2 mathbb D mathbb C It states that each such space is of the form 8 H 2 D C displaystyle theta H 2 mathbb D mathbb C for some inner function 8 displaystyle theta See also EditH2References EditBall J A 2001 1994 Beurling Lax theorem Encyclopedia of Mathematics EMS Press Beurling A 1949 On two problems concerning linear transformations in Hilbert space Acta Math 81 239 255 doi 10 1007 BF02395019 MR 0027954 Lax P D 1959 Translation invariant spaces Acta Math 101 3 4 163 178 doi 10 1007 BF02559553 MR 0105620 Jonathan R Partington Linear Operators and Linear Systems An Analytical Approach to Control Theory 2004 London Mathematical Society Student Texts 60 Cambridge University Press Marvin Rosenblum and James Rovnyak Hardy Classes and Operator Theory 1985 Oxford University Press This mathematical analysis related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Beurling Lax theorem amp oldid 968592096, wikipedia, wiki, book, books, library,
