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This is Volume 1 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 1 features critical results, which are proven carefully and in detail, including discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. Volume 2 features automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.
This is Volume 2 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 2 features critical results, which are proven carefully and in detail, including automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. Volume 1 features discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.
'Systematically exposes the neoliberal myths in unequal societies' - Niels Rosendal Jensen 'A call to arms to challenge inequality and social exclusion.' - Lel Meleyal 'An impassioned dissection of the highly coded lexicon of so-called welfare reform...get reading, get angry, get ready'. - Gargi Bhattacharyya Welfare Words analyses the keywords and phrases commonly used by policy-makers, news-outlets and wider society, when referring to social policy, welfare reform and social work in the present-day culture of neoliberal capitalism. Examining how power relations operate through language and culture, it encourages readers to question how welfare words fit within a wider economic and cultural context riven with gross social inequalities; to disrupt taken-for-granted meanings within mainstream social work and social policy, and to think more deeply, critically and politically about the incessant usage of specific words and phrases. Written by an authoritative voice in the field, Paul Michael Garrett makes sense of complex theories which codify everyday experience, giving readers vital tools to better understand and change their social worlds.
'Systematically exposes the neoliberal myths in unequal societies' - Niels Rosendal Jensen 'A call to arms to challenge inequality and social exclusion.' - Lel Meleyal 'An impassioned dissection of the highly coded lexicon of so-called welfare reform...get reading, get angry, get ready'. - Gargi Bhattacharyya Welfare Words analyses the keywords and phrases commonly used by policy-makers, news-outlets and wider society, when referring to social policy, welfare reform and social work in the present-day culture of neoliberal capitalism. Examining how power relations operate through language and culture, it encourages readers to question how welfare words fit within a wider economic and cultural context riven with gross social inequalities; to disrupt taken-for-granted meanings within mainstream social work and social policy, and to think more deeply, critically and politically about the incessant usage of specific words and phrases. Written by an authoritative voice in the field, Paul Michael Garrett makes sense of complex theories which codify everyday experience, giving readers vital tools to better understand and change their social worlds.
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