Results 51 to 60 of about 1,062,474 (215)
Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
We introduce generalized 2-microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2-microlocal spaces are invariant under the action of ...
Henning Kempka
doaj +1 more source
An index theorem for families invariant with respect to a bundle of Lie groups [PDF]
We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle $\GR$ of Lie groups. If the fibers of $\GR \to B$ are simply-connected solvable, we then compute the Chern character of the ...
Nistor, Victor
core +1 more source
Pseudodifferential Operators on SU(2)
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Geshwind, Frank, Katz, Nets Hawk
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Pseudodifferential operators on stratified manifolds [PDF]
We consider a specific class of manifolds with singularities, namely, stratified manifolds, and describe a class of pseudodifferential operators (PsiDO) related to differential operators with degeneration of first-order with respect to the distance to the strata on such manifolds.
Nazaikinskii, V. E. +2 more
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Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras [PDF]
We characterize the groupoids for which an operator is Fredholm if, and only if, its principal symbol and all its boundary restrictions are invertible. A groupoid with this property is called {\em Fredholm}.
V. Nistor
semanticscholar +1 more source
W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley +1 more source
We review some aspects of the theory of Lie algebras of (twisted and untwisted) formal pseudodifferential operators in one and several variables in a general algebraic context.
Jarnishs Beltran, Enrique G. Reyes
doaj +1 more source
Some estimates for commutators of bilinear pseudo-differential operators
We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
doaj +1 more source
A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions
We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with Gevrey, analytic or ultra-analityc regularity and time-frequency analysis ...
Cordero, Elena +2 more
core +1 more source
Determinants of classical SG‐pseudodifferential operators [PDF]
We introduce a generalized trace functional TR in the spirit of Kontsevich and Vishik's canonical trace for classical SG‐pseudodifferential operators on and suitable manifolds, using a finite‐part integral regularization technique. This allows us to define a zeta‐regularized determinant for parameter‐elliptic operators , , . For , the asymptotics of
L. Maniccia, E. Schrohe, SEILER, JOERG
openaire +2 more sources

