An ultra-low-power near rail-to-rail pseudo-differential subthreshold gate-driven OTA with improved small and large signal performances
Sign Up to like & getrecommendations! Published in 2021 at "Analog Integrated Circuits and Signal Processing"
DOI: 10.1007/s10470-021-01899-8
Abstract: An efficient architecture of a high-performance ultra-low-voltage gate-driven two-stage pseudo-fully differential operational transconductance amplifier (OTA) is presented. The proposed subthreshold-region operated OTA utilizes two identical conventional current-mirror-based source coupled pseudo-differential amplifiers with their cross-connected gate… read more here.
Keywords: rail rail; voltage; near rail; gate ... See more keywords
Continuity of Gevrey–Hörmander pseudo-differential operators on modulation spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-018-0273-9
Abstract: Let $$s\ge 1$$s≥1, $$\omega ,\omega _0\in {\mathscr {P}}_{E,s}^0$$ω,ω0∈PE,s0, $$a\in \Gamma _{s}^{(\omega _0)}$$a∈Γs(ω0), and let $${\mathscr {B}}$$B be a suitable invariant quasi-Banach function space. Then we prove that the pseudo-differential operator $${\text {Op}}(a)$$Op(a) is continuous from… read more here.
Keywords: differential operators; omega mathscr; continuity gevrey; pseudo differential ... See more keywords
Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-019-00293-3
Abstract: In this article we prove that the heat kernel attached to the non-Archimedean elliptic pseudodifferential operators determine a Feller semigroup and a uniformly stochastically continuous $$C_{0}$$ C 0 -transition function of some strong Markov processes… read more here.
Keywords: differential operators; markov processes; archimedean elliptic; strong markov ... See more keywords
Dixmier traces for discrete pseudo-differential operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-020-00335-1
Abstract: In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on $$\ell ^2({\mathbb {Z}}^n)$$ ℓ 2 ( Z n ) . In this setting, we introduce a suitable notion of… read more here.
Keywords: differential operators; discrete pseudo; pseudo differential; dixmier traces ... See more keywords
Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2017.08.017
Abstract: Abstract We describe the space of central extensions of the associative algebra Ψ n of formal pseudo-differential symbols in n ≥ 1 independent variables using Hochschild (co)homology groups: we prove that the first Hochschild (co)homology… read more here.
Keywords: central extensions; formal pseudo; pseudo differential; hochschild homology ... See more keywords
Boundedness of pseudo-differential operators involving Kontorovich–Lebedev transform
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1288726
Abstract: ABSTRACT A pair of pseudo-differential operators (p.d.o.) involving the Kontorovich–Lebedev transform (KL-transform) as well as its adjoint is defined. Estimates for translation and convolution function associated with the Kontorovich–Lebedev transform are obtained. Continuity of KL-transform… read more here.
Keywords: pseudo differential; kontorovich lebedev; lebedev transform; differential operators ... See more keywords
Discrete Pseudo-Differential Operators and Boundary Value Problems in a Half-Space and a Cone
Sign Up to like & getrecommendations! Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218020270
Abstract: We consider a certain class of discrete pseudo-differential operators and related equations in a sharp convex cone and describe their invertibility conditions in L2 spaces. For this purpose we introduce a concept of periodic wave… read more here.
Keywords: discrete pseudo; half space; pseudo differential; cone ... See more keywords
Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators
Sign Up to like & getrecommendations! Published in 2019 at "Analysis and Applications"
DOI: 10.1142/s0219530519500143
Abstract: We deduce one-parameter group properties for pseudo-differential operators [Formula: see text], where [Formula: see text] belongs to the class [Formula: see text] of certain Gevrey symbols. We use this to show that there are pseudo-differential… read more here.
Keywords: differential operators; one parameter; formula see; see text ... See more keywords
Composition of linear canonical Hankel pseudo-differential operators
Sign Up to like & getrecommendations! Published in 2023 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557123501449
Abstract: In this paper, the study of linear canonical Hankel pseudo-differential operators has been extended to Sobolev-type spaces. Two versions of pseudo-differential operators involving linear canonical Hankel transformation are defined. We have shown that the pseudo-differential… read more here.
Keywords: pseudo differential; linear canonical; differential operators; canonical hankel ... See more keywords
Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
Sign Up to like & getrecommendations! Published in 2018 at "Forum Mathematicum"
DOI: 10.1515/forum-2018-0155
Abstract: Abstract Let G be a compact Hausdorff group and let H be a closed subgroup of G. We introduce pseudo-differential operators with symbols on the homogeneous space G / H {G/H} . We present a… read more here.
Keywords: operators homogeneous; homogeneous spaces; spaces compact; pseudo differential ... See more keywords
$L^p$ boundedness for maximal functions associated with multi-linear pseudo-differential operators
Sign Up to like & getrecommendations! Published in 2017 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2017042
Abstract: In this paper, we establish the $L^p$ estimates for the maximal functions associated with the multilinear pseudo-differential operators. Our main result is Theorem 1.2. There are several major different ingredients and extra difficulties in our… read more here.
Keywords: maximal functions; functions associated; pseudo differential; differential operators ... See more keywords