Results 41 to 50 of about 11,357 (198)

Fractional Q$Q$‐curvature on the sphere and optimal partitions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara, Juan Carlos Fernández, Alberto Saldaña   +2 more
wiley   +1 more source

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley   +1 more source

Kipriyanov-Katrakhov singular pseudodifferential operators

Современная математика: Фундаментальные направления
Singular pseudodifferential operators created on the base of the mixed Fourier–Bessel transform are usually called Kipriyanov singular pseudodifferential operators (SPDO). The paper provides an overview of three types of such operators.
L. N. Lyakhov, Yu. N. Bulatov, S. A. Roschupkin   +2 more
doaj   +1 more source

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

Journal 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]

, 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)

Journal 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]

Differential 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., Savin, A. Yu., Sternin, B. Yu.   +2 more
openaire   +2 more sources

W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals

Proceedings 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

Some estimates for commutators of bilinear pseudo-differential operators

Open 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

Determinants of classical SG‐pseudodifferential operators [PDF]

Mathematische 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