Contact Degree
نویسندگان
چکیده
We rely on the books of Boutet de Monvel and Guillemin [4], Blackadar [2] and of Beals and Greiner [1] (see also the book of Taylor ([7]). The properties of the Heisenberg algebra will be discussed more fully in a forthcoming paper of G. Mendoza and the present authors. Let ΨHe(X) be the Heisenberg algebra, of ‘parabolic’ pseudodifferential operators associated to the contact structure on X. This has a natural ideal I He(X) ⊂ ΨHe(X) consisting of the operators with full symbols trivial in the lower half of the cotangent bundle. The (non-commutative) symbol map for the Heisenberg calculus gives a short exact sequence of algebras 0 −→ I−1 He (X) −→ I 0 He(X) −→ S(W̃ ) −→ 0. (1)
منابع مشابه
Allergic contact dermatitis by Boswellia carterii ointment in a deep 2nd degree burn wound: a case report
Numerous scientific texts insist on safe topical application of specific herbal products like those containing Boswellia oleogumresin, but adverse effects arising during clinical trials of herbal medicines give the opportunity to clarify the blind spots in the area of drug safety. A 36-year-old woman without allergic background had two burn wounds because of hot oil. Her hand's wound w...
متن کاملDynamics of social contagions with limited contact capacity
Individuals are always limited by some inelastic resources, such as time and energy, which restrict them to dedicate to social interaction and limit their contact capacities. Contact capacity plays an important role in dynamics of social contagions, which so far has eluded theoretical analysis. In this paper, we first propose a non-Markovian model to understand the effects of contact capacity o...
متن کاملHighly dynamic animal contact network and implications on disease transmission
Contact patterns among hosts are considered as one of the most critical factors contributing to unequal pathogen transmission. Consequently, networks have been widely applied in infectious disease modeling. However most studies assume static network structure due to lack of accurate observation and appropriate analytic tools. In this study we used high temporal and spatial resolution animal pos...
متن کاملContact Degree and the Index of Fourier Integral Operators
An elliptic Fourier integral operator of order 0, associated to a homogeneous canonical diffeomorphism, on a compact manifold is Fredholm on L2. The index may be expressed as the sum of a term, which we call the contact degree, associated to the canonical diffeomorphism and a term, computable by the Atiyah-Singer theorem, associated to the symbol. The contact degree is shown to be defined for a...
متن کاملSensitivity of knee replacement contact calculations to kinematic measurement errors.
The ability to measure in vivo knee kinematics accurately makes it tempting to calculate in vivo contact forces, pressures, and areas directly from kinematic data. However, the sensitivity of contact calculations to kinematic measurement errors has not been adequately investigated. To address this issue, we developed a series of sensitivity analyses derived from a validated in vivo computationa...
متن کاملRelationship in Broiler Breast Meat Quality and some Blood Parameters: Implications of Different Colours Clothes and Visual Human Contact
The goals of this research were to estimate the phenotypic relationship among various breat meat quality traits, blood parameters and tonic immobility from a broiler and to describe the relation among these variables. Broiler chicks were devided into different groups: (1) colour clothing groups represented four different colours as red, blue, green, and gray and (2) the chicks that were subject...
متن کامل