Results 51 to 60 of about 1,062,474 (215)

Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces

open access: yesJournal of Function Spaces and Applications, 2010
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]

open access: yes, 2000
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)

open access: yesJournal of Fourier Analysis and Applications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geshwind, Frank, Katz, Nets Hawk
openaire   +1 more source

Pseudodifferential operators on stratified manifolds [PDF]

open access: yesDifferential Equations, 2007
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
openaire   +2 more sources

Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras [PDF]

open access: yes, 2016
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

open access: yesProceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
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

Formal Pseudodifferential Operators in One and Several Variables, Central Extensions, and Integrable Systems

open access: yesAdvances in Mathematical Physics, 2015
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

open access: yesOpen Mathematics, 2022
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

open access: yes, 2012
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]

open access: yesMathematische Nachrichten, 2013
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

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