Double Operator Integrals
نویسندگان
چکیده
منابع مشابه
Double Integrals and Iterated Integrals
Corresponding material in the book: Section 15.2, 15.3. Note: We are omitting the question types from the book that require three-dimensional visualization, i.e., those that require sketching figures in three dimensions to compute volumes. What students should definitely get: The procedure for computing double integrals over rectangles using iterated integrals, the procedure for computing doubl...
متن کاملMultiple Operator Integrals and Spectral Shift
For a large class of admissible functions f : R 7→ C, the operator derivatives dj dxj f(H0 + xV ), where H0 and V are self-adjoint operators on a separable Hilbert space H, exist and can be represented as multiple operator integrals [1, 14]. Let M be a semi-finite von Neumann algebra acting on H and τ a semi-finite normal faithful trace on M. For H0 = H ∗ 0 affiliated with M and V = V ∗ in the ...
متن کاملOn double integrals over spheres
Formulae involving double integrals over spheres arise naturally in inverse scattering problems since the scattered data are measured in the space R x Sz x Sz. In this paper we derive a relation between differential forms on the space S"' x S"-' , and those on the space Z x S n-2 x S where Z is a real interval. Specifically, d( dq = sin"' 6 d6 d$ dv (t, 7) E S '-' x S '-' and (6, $, U) E Z x S"...
متن کاملCentral limit theorems for double Poisson integrals
Motivated by second order asymptotic results, we characterize the convergence in law of double integrals, with respect to Poisson random measures, toward a standard Gaussian distribution. Our conditions are expressed in terms of contractions of the kernels. To prove our main results, we use the theory of stable convergence of generalized stochastic integrals developed by Peccati and Taqqu. One ...
متن کاملFrom algebraic to analytic double product integrals
The algebraic theory of double product integrals and particularly its role in the quantisation of Lie bialgebras is described. When the underlying associative algebra is that of the Itô differentials of quantum stochastic calculus such product integrals are formally represented as operators which are infinite sums of iterated integrals in Fock space. In this paper we describe some of the analyt...
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: Journal of Functional Analysis
سال: 2002
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3898