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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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3 results for “L. Hörmander”

Formally Integrable Structures II. Division Problemmath.CV

Solves division problem for L. Hörmander's systems.

problem Division problem for L. Hörmander's overdetermined systems.

method Formulates and proves divisibility criterion, coherence theorem.

result Establishes effective divisibility criterion and extends coherence theorem.

overdetermined systems partial differential equations division problem L. Hörmander coherence theorem

2023-09-14abs ↗pdf ↗

Formally Integrable Structures I. Resolution of Solution Sheavesmath.AP

Paper constructs solutions for a class of overdetermined systems.

problem Constructing solutions for a class of overdetermined systems.

method Resolution of the solution sheaf, sufficient condition for global exactness, gluing techniques, local solvability of the Treves complex.

result Obtained a sufficient condition for global exactness, leading to gluing techniques for local solutions.

formally integrable structures overdetermined systems solution sheaf global exactness gluing techniques

2022-04-24abs ↗pdf ↗

Hypoellipticit{é} de polyn{ô}mes de champs de vecteurs et conjectures de Helffer etNourrigatmath.AP

Innovative advances validate a conjecture on maximal hypoellipticity in sub-Riemannian geometry.

problem Characterizing maximal hypoellipticity in sub-Riemannian geometry.

method Generalization of Connes tangent groupoid, pseudodifferential calculus, and invertibility of principal symbol.

result Validation of Helffer and Nourrigat's conjecture on maximal hypoellipticity.

Hypoellipticity Sub-Riemannian Geometry Non-commutative Geometry Pseudodifferential Calculus Connes Tangent Groupoid

2025-04-18abs ↗pdf ↗