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Analytic and asymptotic properties of Linnik's probability densities
(Elsevier, 1994)The analytic and asymptotic properties of the probability density Jin (:r:) introduced in 1953 by Ju. V. Linnik and defined by the characteristic function 1/(1 + It I"), 0 < n < 2, are studied. Expansions of Jin (:r:) ... 
Square functions in ergodic theory
(Cambridge University Press, 1996)Given the usual averages in ergodic theory, let n1 ≤ n2 ≤ … and . There is a strong inequality ‖Sf‖2 ≤ 25‖f‖2 and there is a weak inequality m{Sf > λ} ≤ (7000/λ)‖f‖1. Related results and questions for other variants of ... 
On vector invariants of the symmetric group
(Walter de Gruyter GmbH, 1996)The purpose of this paper is to give a proof of the results announced by the author [7] in 1982 on the algebraic independence over a field k of any nondegenerate system of mn distinct basis invariants in the ring k[x11 ... 
Fibre products of hyperelliptic curves and geometric Goppa code
(Walter de Gruyter GmbH, 1997)The purpose of this paper is to extend the results of the first author on construction of fairly long geometric Goppa codes over Fq (q = pv and v > I is even) with rather good parameters to the case of finite fields Fq ... 
Codes on fibre products of hyperelliptic curves
(Walter de Gruyter GmbH, 1997)The purpose of this paper is to construct a new family of smooth projective curves over a finite field Fq with a lot of Fgrational points. The genus in this family is considerably less than the number of rational points, ... 
Polynomial invariants of finite groups over fields of prime characteristics
(Walter de Gruyter GmbH, 1999)Let R be a commutative ring with the unit element 1, and let G = Sn be the symmetric group of degree n 2'. 1. Let A~n denote the subalgebra of invariants of the polynomial algebra Arnn = R[x11 , ... ,x1n; ... ;xm1, ... ... 
Vector invariants of symmetric groups in prime characteristic
(Walter de Gruyter GmbH, 2000)Let R be a commutative ring with the unit element 1 and Sn be the symmetric group of degree n 2::: 1. Let A~ denote the subalgebra of invariants of the polynomial algebra with respect to Sn, The classical result of H. ... 
Determination of the Jgroups of complex projective and lens spaces
(Springer Netherlands, 2003)We determine completely the Igroups of complex projective and lens spaces by means of a set of generators and a complete set of relations. 
Burstmode Ybdoped fiber amplifier system optimized for lowrepetitionrate operation
(Optical Society of America, 2015)We report on the burstmode operation of a polarizationmaintaining Ybdoped multistage allfiber amplifier capable of generating 10pulse 100 ns long bursts of 400 μJ total energy. The corresponding average energy per ... 
Cavity formation in split ring resonators
(Elsevier BV, 200812)We report that it is possible to obtain a cavity structure by the deformation of a unit cell of an split ring resonator (SRR) structure. We presented the Qfactor of the cavity resonance as 192 for an SRRbased single ... 
Codes on fibre products of ArtinSchreier curves
(Walter de Gruyter GmbH, 2001)The purpose of this paper is to construct a new family of smooth projective curves over a finite field Fq with many Fqrational points using fibre products of ArtinSchreier curves. We show that for any curve X in this ... 
Grapheneenabled electrically controlled terahertz spatial light modulators
(Optical Society of America, 20150501)In this Letter, we demonstrate a broadband terahertz (THz) spatial light modulator using 5×5 arrays of large area graphene supercapacitors. Our approach relies on controlling spatial charge distribution on a passive matrix ... 
Visible photoluminescence from thin films of SiOx prepared by lowtemperature plasmachemical deposition
(American Institute of Physics, 19940726) 
Investigation of thin films SiO2 obtained by low temperature plasmachemical deposition
(American Institute of Physics, 19940726) 
The discrete fractional Fourier transform and Harper's equation
(London Mathematical Society, 2000)It is shown that the discrete fractional Fourier transform recovers the continuum fractional Fourier transform via a limiting process whereby inner products are preserved. 
The number of blocks with a given defect group
(London Mathematical Society, 1997)Given a Psubgroup P of a finite group G, we express the number of Pblocks of G with defect group P as the /?rank of a symmetric integer matrix indexed by the N (P) / Pconjugacy classes in PC(P)/P. We obtain ... 
Some results related to the Laplacian on vector fields
(Institute of Mathematics, University of Debrecen, Hungary., 2006)A characterization of Euclidean spheres out of connected, compact, Einstein Riemannian manifolds of constant scalar curvature is made by a characterization of a vector field with an eigenvalue equation for the Laplacian ... 
Probing dynamics of surface structures using xray photoelectron spectroscopy
(2012)By incorporating laser illumination, and/or by application of electrical squarewave pulses to the sample, Xray photoelectron spectroscopy is utilized to probe the dynamics of the surface structures in the range of 103 ... 
Multifunctional integrated photonic switches
(Institute of Electrical and Electronics Engineers, 2005)Traditional opticalelectronicoptical (oeo) conversion in today’s optical networks requires cascading separately packaged electronic and optoelectronic chips and propagating highspeed electrical signals through and ... 
FRETLEDs involving colloidal quantum dot nanophosphors
(Webcom Communications, 2010)Semiconductor nanocrystal quantum dots (NQD) with their narrow and tuneable emission are promising candidates to serve as color convertors integrated on lightemitting diodes (LEDs). The use of nonradiative energy transfer, ...