Gaussian measures on Lp spaces, 1

This paper contains the following three types of results: First, a 1-1 correspondence is established between Gaussian measures on Lp, 1Gaussian measure Gaussian process zero-one law characteristic function topological support Lp space Frechet space

A representation of the characteristic function of a stable probability measure on certain TV spaces

In this paper, a Lévy-Khintchine type representation of the characteristic function of a K-regular stable probability measure on real locally convex topological vector spaces, satisfying certain conditions, is presented.Lévy-Khintchine type representations Stable probability measures on a TVS K-regular probability measure

Spectral representation of semistable processes, and semistable laws on Banach spaces

We introduce the notion of semistable processes and semistable random measures; and give a characterization of semistable laws on Banach spaces. Using this charcterization, we discuss the existence of semistable random measures, define the stochastic integrals with respect to these measures, and obtain the spectral representations of arbitrary (not necessairly symmetric) semistable and stable processes. In addition, we give a criterion of independence for stochastic integrals.Semistable and stable measures and processes stochastic integrals spectral representation Banach space

On sample path properties of semistable processes

This paper contains three main results: In the first result a correspondence principle between semistable measures on Lp, 1semistable processes sample path properties zero-one law

On the spectral representations of complex semistable and other infinitely divisible stochastic processes

In this paper we extend the definition of stochastic integrals relative to the larger class of complex semistable and other infinitely divisible measures that was given in a previous paper. We obtain spectral representations of complex semistable and other i.d. stochastic processes.spectral representation semistable and infinitely divisible processes stochastic integral

Efficacy of dexmedetomidine for the control of junctional ectopic tachycardia after repair of tetralogy of Fallot

Background: Junctional ectopic tachycardia occurs frequently after congenital cardiac surgery and can be a cause of increased morbidity and mortality. Dexmedetomidine (DEX) is an a2 adrenoreceptor agonist, has properties of controlling tachyarrhythmia by regulating the sympatho-adrenal system. Objective: To evaluate the efficacy of DEX for control of junctional ectopic tachycardia after repair of Tetralogy of Fallot (TOF). Materials and Methods: Two hundred and twenty pediatric cardiac patients with TOFs were enrolled in a prospective randomized control study. Patients underwent correction surgery. They were divided into two groups, i.e., Group 1 (DEX) and Group 2 (control). Heart rate, rhythm, mean arterial pressure (MAP) were recorded after the anesthetic induction (T1), after termination of bypass (T2), after 04 hours (T3), and 08 hours after transferring the patient to intensive care unit (ICU; T4). Results: Heart rate was comparable between two groups before starting the drug but statistically significant after bypass until 08 hours after transferring the patient to ICU. Junctional ectopic tachycardia occurred more in Group-2 (20%) as compared to Group-1 (9.09%; P = 0.022). Junctional ectopic tachycardia occurs early in Group-2 (0.14 ± 0.527 hours) as compared to Group 1 (0.31 ± 1.29 hours; P = 0.042). The duration of junctional ectopic tachycardia was more prolonged in Group-2 (1.63 ± 3.64 hours) as compared to Group-1 (0.382 ± 1.60 hours; P = 0.012). The time to withdraw from mechanical ventilation and ICU stay of Group 1 patient was less than of Group 2 patients (P = <0.001). Conclusion: DEX had a therapeutic role in the prevention of junctional ectopic tachycardia in patients undergoing repair for TOF