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Warning: For Mature Adult Audiences. Contains wording and actions some may find offensive. Sexual explicit content. MFM This book is a newly edited and a beautiful new cover re-release of the same great story originally released in 2013. Tori Paulson has been stalked by a Houston police officer for the past year. When she unexpectedly inherits a small ranch near Climax, Colorado, from a great-uncle she’d never even met, Tori thinks fate may finally be planning to give her a break. Braving roads she doesn’t believe really qualify as highways while battling near-blizzard conditions, Tori misses her meeting with the local attorney, and that is only the beginning of the bad news. Sitting outside in the snow wondering where she is going to sleep without freezing to death, she suddenly realizes the gorgeous cowboy watching her thoughtfully has actually spoken to her. Dom Trace Bartell is totally unprepared for the snow angel he finds sitting stunned in front of the local tavern. He is drawn to the intelligence he sees dancing in her dark eyes and vulnerability he senses in her. But Tori’s stalker hasn’t given up. Can Trace keep Tori safe from a stalker whose past is much darker than anyone knows?
This book is the first complete study and monograph dedicated to singular traces. The text mathematically formalises the study of traces in a self contained theory of functional analysis. Extensive notes will treat the historical development. The final section will contain the most complete and concise treatment known of the integration half of Connes' quantum calculus. Singular traces are traces on ideals of compact operators that vanish on the subideal of finite rank operators. Singular traces feature in A. Connes' interpretation of noncommutative residues. Particularly the Dixmier trace,which generalises the restricted Adler-Manin-Wodzicki residue of pseudo-differential operators and plays the role of the residue for a new catalogue of 'geometric' spaces, including Connes-Chamseddine standard models, Yang-Mills action for quantum differential forms, fractals, isospectral deformations, foliations and noncommutative index theory. The theory of singular traces has been studied after Connes' application to non-commutative geometry and physics by various authors. Recent work by Nigel Kalton and the authors has advanced the theory of singular traces.Singular traces can be equated to symmetric functionals of symmetric sequence or function spaces, residues of zeta functions and heat kernel asymptotics, and characterised by Lidksii and Fredholm formulas. The traces and formulas used in noncommutative geometry are now completely understood in this theory, with surprising new mathematical and physical consequences. For mathematical readers the text offers fundamental functional analysis results and, due to Nigel Kalton's contribution, a now complete theory of traces on compact operators. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to Dixmier traces and access to the deeper mathematical features of traces on ideals associated to the harmonic sequence. These features, not known and not discussed in general texts on noncommutative geometry, are undoubtably physical and probe to the fascinating heart of classical limits and quantization.
"In recent years, new fields of inquiry in music have blossomed, some more controversial and inflammatory than others, some overtly veering from the traditional affairs of the Academy. Among the variety of questions raised are those that explore the differences between "who we are," "what we do," and "how/what we experience." Such inquiry reflects our desire to discover the ways in which we identify with our music and the ways in which the music we make, listen to, and talk about identifies us. Going beyond singular investigations of history, theory, gender, race, or culture, the contributors to Audible Traces complicate matters. They examine the ways that our supposed self-identity? gender, race, sexuality, sexual orientation, and ethnicity? intersects with our activities and our experiences. Their concerns also include dance, technology, societal forces, cognitive studies, poetry, fashion, sensory inputs, and politics. In a mosaic of approaches and viewpoints composers, musicologists, performers, ethnomusicologists, theorists of music and of literature, suggest and reveal traces of the ways that these complex matrices of identity affect us during the compositional, listening, or performing experience."--Publisher's website.
This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character.
This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes’ noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions.
Basho (1644-94) is perhaps the best known Japanese poet in both Japan and the West, and this book establishes the ground for badly needed critical discussion of this critical figure by placing the works of Basho and his disciples in the context of broader social change.
Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.
Reprint of the original, first published in 1873.