A5054074610- Mathematical Analysis and Transform Methods
- Spectral Theory in Mathematical Physics
- Advanced Mathematical Physics Problems
- Advanced Harmonic Analysis Research
- advanced mathematical theories
- Advanced Mathematical Modeling in Engineering
- Stochastic processes and financial applications
- Differential Equations and Boundary Problems
- Geometric Analysis and Curvature Flows
- Stability and Controllability of Differential Equations
- Geometry and complex manifolds
- Holomorphic and Operator Theory
- Mathematics, Computing, and Information Processing
- Open Education and E-Learning
- Numerical methods in inverse problems
- Algebraic and Geometric Analysis
- Noncommutative and Quantum Gravity Theories
- Digital Accessibility for Disabilities
- Black Holes and Theoretical Physics
- Educational Tools and Methods
- Financial Risk and Volatility Modeling
- Advanced Numerical Analysis Techniques
- Nonlinear Waves and Solitons
- Modeling and Simulation Systems
- Geometric and Algebraic Topology
University of Turin
2015-2025
Collegio Carlo Alberto
2003-2025
Linnaeus University
2019
University of Potsdam
2003
In this paper we establish global Lp regularity properties of Fourier integral operators. The orders decay the amplitude are determined for operators to be bounded on $L^p(\Rn)$, $1<p<\infty$, as well from Hardy space $H^1(\Rn)$ $L^1(\Rn)$. obtained results extend local $L^p$ established by Seeger, Sogge and Stein (1991) $L^2(\Rn)$ Asada Fujiwara (1978) Ruzhansky Sugimoto (2006), setting $L^p(\Rn)$. Global boundedness in weighted Sobolev spaces $W^{\sigma,p}_s(\Rn)$ is also established....
We study the hypoellipticity properties of a class time-periodic evolution operators, with coefficients globally defined on $\mathbb{R}^d$ and growing polynomially respect to space variable. To this aim, we introduce weighted Sobolev spaces, whose elements are characterised in terms suitable Fourier expansions, associated elliptic operators.
The aim of this Note is to present global Lp boundedness results for Fourier integral operators in Rn. main question what are the decay conditions on amplitudes be bounded Lp(Rn). Results under different sets assumptions phase functions and presented. Dans cette nous présentons des estimations globales pour les opérateurs intégraux de dans espaces Les questions d'intérêt sont décroissance amplitudes. résultats présentés sous différentes sur la fonction et l'amplitude.
Accessing mathematical formulae within digital documents is challenging for blind people. In particular, document formats designed printing, such as PDF, structure math content visual access only. While accessibility features exist to present PDF non-visually, support limited providing replacement text that can be read by a screen reader or displayed on braille bar. However, the operation of inserting left authors, who rarely provide content. Furthermore, at best, description are provided....
Abstract We prove the existence of a bounded H ∞-calculus in weighted L p -Sobolev spaces for closed extension A T differential operator on conic manifold with boundary, subject to boundary condition T, provided resolvent (λ − )−1 exists sector Λ ⊂ ℂ and has certain pseudodifferential structure that we describe. In case is minimal A, this reduces parameter-ellipticity value problem . Examples concern Dirichlet Neumann Laplacians. Keywords: Boundary problems ∞-calculusManifolds conical...
We deal with the asymptotic behaviour, for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>λ</mml:mi><mml:mo>→</mml:mo><mml:mo>+</mml:mo><mml:mi>∞</mml:mi></mml:mrow></mml:math>, of counting function<mml:math id="M2"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>λ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math>of certain positive self-adjoint operators P...
We present the detailed construction of classical version calculus for Fourier Integral Operators (FIOs) in class symbols with exit behaviour (SG symbols). In particular, we analyse what happens when one restricts choice amplitude and phase functions to subset SG symbols. It turns out that main composition theorem, obtained environment general classes, has a “classical” counterpart. As an application, study Cauchy problem hyperbolic operators order (1, 1), refining known results about...