Adjoints of elliptic cone operators

We study the adjointness problem for the closed extensions of a general b-elliptic operator A in x^{-\nu}Diff^m_b(M;E), \nu>0, initially defined as an unbounded operator A:C_c^\infty(M;E)\subset x^\mu L^2_b(M;E)\to x^\mu L^2_b(M;E), \mu \in \R. The case where A is a symmetric semibounded operator is of particular interest, and we give a complete description of the domain of the Friedrichs extension of such an operator.Comment: 40 pages, LaTeX, preliminary versio

Resolvents of elliptic cone operators

We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.Comment: 46 pages, submitted for publicatio

On the closure of elliptic wedge operators

We prove a semi-Fredholm theorem for the minimal extension of elliptic operators on manifolds with wedge singularities and give, under suitable assumptions, a full asymptotic expansion of the trace of the resolvent.Comment: 22 pages, improved expositio

Trace expansions for elliptic cone operators with stationary domains

We analyze the behavior of the trace of the resolvent of an elliptic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two components, one associated with the minimal extension of the operator, and another, of finite rank, depending on the particular choice of domain. We give a full asymptotic expansion of the first component and expand the component of finite rank in the case where the domain is stationary. The results make use, and develop further, our previous investigations on the analytic and geometric structure of the resolvent. The analysis of nonstationary domains, considerably more intricate, is pursued elsewhere.Comment: 27 pages. Minor corrections and change of titl

Geometry and spectra of closed extensions of elliptic cone operators

We study the geometry of the set of closed extensions of index 0 of an elliptic cone operator and its model operator in connection with the spectra of the extensions, and give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.Comment: 48 pages, revisited version to appear in Canadian Journal of Mathematic

Canciones del Movimiento Chicano/Songs of the Chicano Movement: The Impact of Musical Traditions on the 1960s Chicano Civil Rights Movement

This thesis analyzes resistance songs as key representations of the identity and political formation that took place during the 1960s Chicano movement. Examining particular musical traditions, this thesis highlights the value of placing songs of the Chicano struggle in national narratives of history as well as in the context of an enduring and thriving legacy of political and social activism that continues to allow the Chicano community to recognize and validate their current social realities