THE OPERATOR SHIFT SPACE
نویسندگان
چکیده
منابع مشابه
SHIFT OPERATOR FOR PERIODICALLY CORRELATED PROCESSES
The existence of shift for periodically correlated processes and its boundedness are investigated. Spectral criteria for these non-stationary processes to have such shifts are obtained.
متن کاملThe Spectral Shift Operator
We introduce the concept of a spectral shift operator and use it to derive Krein's spectral shift function for pairs of self-adjoint operators. Our principal tools are operator-valued Herglotz functions and their logarithms. Applications to Krein's trace formula and to the Birman-Solomyak spectral averaging formula are discussed.
متن کاملExample. the 'k'f Shift Operator
we present a general theory of $ilii~ear/ quadratic signal representations t h a t a l e coiianant to timefrequency (TF) displacement operators resentations are developed in the CY,,^') dQmaiiB and iio the e e o ~ ~ u ~ a ~ e case, covariant representa,tions can also be formulated in an eigenfunction parameter domain ( ( a , b ) domain). The relations connecting the (0, p), TF, and (U, b) domai...
متن کاملClosed Commutants of the Backward Shift Operator
We characterize the closed operators with domain contained in the Hardy space H 2 that commute with the backward shift. Also, we give necessary and suucient conditions for such an operator to be a Toeplitz operator with symbol the complex conjugate of a function in H 2. In particular, we show that this fact depends only on the domain. Introduction. Let F be a function in the Hardy space of the ...
متن کاملSome Applications of the Spectral Shift Operator
The recently introduced concept of a spectral shift operator is applied in several instances. Explicit applications include Krein's trace formula for pairs of self-adjoint operators, the Birman-Solomyak spectral averaging formula and its operator-valued extension, and an abstract approach to trace formulas based on perturbation theory and the theory of self-adjoint extensions of symmetric opera...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2008
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091505000337