In this work we investigate n-widths of multiplier operators Λ∗ and Λ, defined for functions on the complex sphere Ωd ℂd, associated with sequences multipliers type {λm,n∗}m,n∈N, λm,n∗=λ(m+n) {λm,n}m,n∈N, λm,n=λ(max{m,n}), respectively, a bounded function λ [0,∞). If Λ are from Lp(Ωd) into Lq(Ωd), 1≤p,q≤∞, Up is closed unit ball Lp(Ωd), study lower upper estimates Kolmogorov, linear, Gelfand Be...

A new mixed variational–hemivariational problem is introduced, a(u,v−u)+b(v−u,λ)+φ(v)−φ(u)+J0(Tu;Tv−Tu)≥(f,v−u)X, b(u,μ−λ)−ψ(μ)+ψ(λ)−Ψ0(Rλ;Rμ−Rλ)≤0, (v∈X, μ∈Λ⊆Y), focusing on its well-posedness. We are looking for a pair solution (u,λ)∈X×Λ working into Hilbert spaces framework. Some particular cases with applications in mechanics highlighted. special attention payed to case leading penalty term...

Let λ(m) denote the maximal absolute projection constant over real m-dimensional subspaces. This quantity is extremely hard to determine exactly, as testified by fact that only known value of for m>1 λ(2)=4/3. There also numerical evidence indicating λ(3)=(1+5)/2. In this paper, relying on a new construction certain mutually unbiased equiangular tight frames, we show λ(5)≥5(11+65)/59≈2.06919. c...

Let Λ,Λ′ be a pair of closed Legendrian submanifolds in contact manifold (Y,ξ=Ker(α)) related by cobordism W⊂(C×Y,ξ˜=Ker(−yḍx+α)). In this note, we show that the hypertight setting, if Λ intersects for reasons Floer homology pre-Lagrangian P⊂Y which is either weakly exact or monotone, then so does Λ′.

We investigate the rare baryonic exclusive decays of Λb → Λll (l = e, μ, τ) with polarized Λ. Under the approximation of the heavy quark effective theory (HQET), in the standard model we derive the differential decay rates and various polarization asymmetries by including lepton mass effects. We find that with the long-distance effects the decay branching ratios are 5.3× 10 for Λb → Λll (l = e,...

The phenomenology of the FLRW models with non-vanishing cosmological constant, λ, is briefly surveyed in the light of the recent astrophysical and cosmological observations. A subset of these λ 6= 0 models, which probably comprises the world where we live, is singled out by the combined data from high redshift Type Ia supernovae, CMBR and the cosmic inventory of matter in our universe. The kine...

Let E be the natural representation of special linear group SL2(K) over an arbitrary field K. We use two dual constructions symmetric power when K has prime characteristic to construct explicit isomorphism SymmSymℓE≅SymℓSymmE. This generalises Hermite reciprocity fields. prove a similar generalisation classical Wronskian isomorphism, namely SymmSymℓE≅⋀mSymℓ+m−1E. also generalise result first pr...

We construct a one-parameter family of generalized Mathieu functions, which are reduced quaternion-valued functions pair real variables lying in an ellipse, and we call λ-reduced quaternionic functions. prove that the λ-RQM kernel Moisil-Teodorescu operator D+λ (D is Dirac λ∈R∖{0}), form complete orthogonal system Hilbert space square-integrable λ-metamonogenic with respect to L2-norm over conf...