An analytic double product integral
نویسنده
چکیده
The double product integral →← ∏ (1+λ(dA†⊗dA−dA⊗dA†)) is constructed as a family of unitary operators in double Fock space satisfying quantum stochastic differential equations with unbounded operator coefficients.
منابع مشابه
Double Integrals and Infinite Products for Some Classical Constants via Analytic Continuations of Lerch’s Transcendent
The two-fold aim of the paper is to unify and generalize on the one hand the double integrals of Beukers for ζ(2) and ζ(3), and those of the second author for Euler’s constant γ and its alternating analog ln(4/π), and on the other hand the infinite products of the first author for e, and of the second author for π and e . We obtain new double integral and infinite product representations of man...
متن کاملDouble Integral Operators Concerning Starlike of Order
Double integral operators which were considered by S. S. Miller and P. T. Mocanu Integral Transform. Spec. Funct. 19 2008 , 591–597 are discussed. In order to show the analytic function f z is starlike of order β in the open unit disk U, the theory of differential subordinations for analytic functions is applied. The object of the present paper is to discuss some interesting conditions for f z ...
متن کاملOn the Analytic-numeric Treatment of Weakly Singular Integrals on Arbitrary Polygonal Domains
An alternative analytical approach to calculate the weakly singular free-space static potential integral associated to uniform sources is presented. Arbitrary oriented flat polygons are considered as integration domains. The technique stands out by its mathematical simplicity and it is based on a novel integral transformation. The presented formula is equivalent to others existing in literature...
متن کاملCertain Subordination Results For A Class Of Analytic Functions Defined By The Generalized Integral Operator
We obtain several interesting subordination results for a class of analytic functions defined by using a generalized integral operator. Keywords—Analytic functions, Hadamard product, Subordinating factor sequence
متن کاملOn Sandwich theorems for certain classes of analytic functions
The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005