Nonlocalization Properties of Time Operators Transformations

in International Journal of Theoretical Physics (2015), 54(4), 787-800

It is presented a general approach to the problem of extension of time operators and the associated Lambda transformations on singular measures. It is also shown that Lambda transformations defined on ... [more ▼]

It is presented a general approach to the problem of extension of time operators and the associated Lambda transformations on singular measures. It is also shown that Lambda transformations defined on function spaces having the Urysohn property are non localized. Particular attention has been devoted to time and Lambda operators associated with the Walsh-Paley system and to a characterization of their domain and non locality. [less ▲]

On Lambda transformation approach to the theory of irreversibility

in Bussei Kenkyu (2012), 97(3), 398-413

Spectral Models for Orthonormal Wavelets and Multiresolution Analysis of L2(R)

in Journal of Fourier Analysis and Applications (2011), 17(2), 191-225

Spectral representations of the dilation and translation operators on L2(R) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid ... [more ▼]

Spectral representations of the dilation and translation operators on L2(R) are built through appropriate bases. Orthonormal wavelets and multiresolution analysis are then described in terms of rigid operator-valued functions defined on the functional spectral spaces. The approach is useful for computational purposes. [less ▲]

Inner functions and local shape of orthonormal wavelets

in Applied & Computational Harmonic Analysis (2011), 30(3), 273-287

Conditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable orthonormal bases (ONBs) related with the translation and dilation operators. A particular choice of the ONBs ... [more ▼]

Conditions characterizing all orthonormal wavelets of L2(R) are given in terms of suitable orthonormal bases (ONBs) related with the translation and dilation operators. A particular choice of the ONBs, the so-called Haar bases, leads to new methods for constructing orthonormal wavelets from certain families of Hardy functions. Inner functions and the corresponding backward shift invariant subspaces articulate the structure of these families. The new algorithms focus on the local shape of the wavelet. [less ▲]

Evolution semigroups and time operators on Banach spaces

in Journal of Mathematical Analysis and Applications (2010), 371(2), 454-464

We present new general methods to obtain shift representation of evolution semigroups defined on Banach spaces. We introduce the notion of time operator associated with a generalized shift on a Banach ... [more ▼]

We present new general methods to obtain shift representation of evolution semigroups defined on Banach spaces. We introduce the notion of time operator associated with a generalized shift on a Banach space and give some conditions under which time operators can be defined on an arbitrary Banach space. We also tackle the problem of scaling of time operators and obtain a general result about the existence of time operators on Banach spaces satisfying some geometric conditions. The last part of the paper contains some examples of explicit constructions of time operators on function spaces. [less ▲]

How Can Path Diversity Help Transmission Protocols in the Achievement of a Better Connection Qos?

in Proceedings of the 6th ACS/IEEE International Conference on Computer Systems and Applications AICCSA'08 (2008)

Breakdown of Time-Reversal Symmetry: Intrinsic Randomness, Time Operator, Scattering

in Journal of Geometry and Symmetry in Physics (2008), 11

Misra-Prigogine-Courbage theory of irreversibility is revisited on the basis of Nagy-Foia~ dilation theory and Halmos-Helson theory of invariant sub-spaces. Universal models for intrinsically random ... [more ▼]

Misra-Prigogine-Courbage theory of irreversibility is revisited on the basis of Nagy-Foia~ dilation theory and Halmos-Helson theory of invariant sub-spaces. Universal models for intrinsically random dynamics are given as well as equivalent conditions to the existence of internal time operators, where innovation processes and Lax-Phillips scattering appear in a natural way. [less ▲]

Route Diversity: A Future For Transmission Protocols

in Proceedings of the 2007 Fourth International Conference on Broadband Communications, Networks and Systems BROADNETS 2007 (2007)

On The Road Towards The Comprehension Of The Internet Traffic Behavior: Simulation And Analysis Of An End-To-End Connection With NS-2

in Abstract book of 10th Communications and Networking Simulation Symposium CNS'07 (2007), (Proceedings of the 10th Communications and Networking Simulation Symposium CNS'07 Norfolk Marriott Waterside, Norfolk, VA, USA, March 25 - 29, 2007),

Explicit form of the time operator of a gaussian stationary process

in International Journal of Theoretical Physics (2004), 43

We present the time operator theory in the framework of stationary stochastic processes. The main results of the paper is the derivation of the time operator acting on the Fock space associated with a ... [more ▼]

We present the time operator theory in the framework of stationary stochastic processes. The main results of the paper is the derivation of the time operator acting on the Fock space associated with a discrete time gaussian stationary process. [less ▲]