Frames

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An Introduction to Frames and Riesz Bases

Author: Ole Christensen
language: en
Publisher: Springer Science & Business Media
Release Date: 2002-12-13
The Applied and Numerical Harmonic Analysis ( ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har monic analysis to basic applications. The title of the series reflects the im portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.
Frames and Constructions in Metaphoric Language

Author: Karen Sullivan
language: en
Publisher: John Benjamins Publishing
Release Date: 2013-01-01
Frames and constructions in metaphoric language shows how linguistic metaphor piggybacks on certain patterns of constructional meaning that have already been identified and studied in non-metaphoric language. Recognition of these shared semantic structures, and comparison of their roles in metaphoric and non-metaphoric constructions, make it possible to apply findings from Frame Semantics, Cognitive Grammar and Construction Grammar to understand how conceptual metaphor surfaces in language.
Frame Analysis, Critical Theory, and English Language Teaching

In this book, Robert J. Lowe introduces frame analysis, a qualitative research approach grounded in the critical theory of the early Frankfurt School and framing in the social sciences. Lowe sets out the principles of the frame analysis approach and provides a guide to conducting this kind of research in practice. Focused on identifying and challenging ideology through immanent critique, Lowe presents a methodological guide and research report. He begins by explaining early critical theory and the frame analysis approach, followed by a detailed example of its application. This example illustrates the key stages: identifying participants' ideological presuppositions through their “master framing,” questioning the internal logic of this framing, and presenting contradictions to participants. Finally, the researcher observes reactions and documents emerging counter-framing, marking the first signs of resistance to dominant ideology. By applying this approach to issues in English language teaching, the book questions some of the ways in which the rhetoric of pluralism and diversity around English as an international language may stand at odds with the realities of a world in which some varieties of the language have more prestige than others. Through the frame analysis approach, the author suggests that researchers can play a role in empowering language learners and users to advocate for a world in which they can take true ownership of the language. Key reading for all qualitative researchers and advanced students in applied linguistics, sociolinguistics, ELT/TESOL and linguistic anthropology.