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Traces and Determinants of Pseudodifferential Operators

Simon Scott

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.001.0001
Subject:
Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More


Pseudodifferential Operator Trace Formulae

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0005
Subject:
Mathematics, Analysis

In this chapter details of the construction of the fundamental trace functionals on pseudodifferential operators are given. The approach to traces taken here is through an analysis of the singularity ... More


Knowability

Ben Brubaker, Daniel Bump, and Solomon Friedberg

in Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (AM-175)

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691150659
eISBN:
9781400838998
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691150659.003.0012
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter introduces the Knowability Lemma, which explains when products of Gauss sums associated to elements of a preaccordion are explicitly evaluable as polynomials in q, the order of the ... More


GETTING THE PARABOLICS TOGETHER

A. A. Ivanov

in The Fourth Janko Group

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198527596
eISBN:
9780191713163
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527596.003.0007
Subject:
Mathematics, Pure Mathematics

This chapter assumes that G is the completion group of G which is constrained at level 2. It identifies the third geometric subgroup with the famous involution centralizer 21+12 + · ... More


Determinants

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0003
Subject:
Mathematics, Analysis

Determinants as abstract invariants have received less study in the mathematical literature than traces, on which there is an extensive literature. However, determinants can be treated in a general ... More


Exploiting molecular and isotopic signals at the Mesolithic-Neolithic transition

Richard P. Evershed

in Going Over: The Mesolithic-Neolithic Transition in North-West Europe

Published in print:
2007
Published Online:
January 2012
ISBN:
9780197264140
eISBN:
9780191734489
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264140.003.0008
Subject:
Archaeology, Prehistoric Archaeology

The paucity of cultural finds at this key stage in human prehistory increases the need to fully and effectively exploit all the sources of evidence that exist. Organic residues, preserved in ... More


Defects in lysosomal enzyme modification for catalytic activity

Kurt von Figura, Ljudmila V. Borissenko, Jens Fey, Jianhe Peng, Bernhard Schmidt, and Thomas Dierks

in Lysosomal Disorders of the Brain: Recent Advances in Molecular and Cellular Pathogenesis and Treatment

Published in print:
2004
Published Online:
September 2009
ISBN:
9780198508786
eISBN:
9780191723803
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508786.003.0005
Subject:
Neuroscience, Disorders of the Nervous System

Two types of modifications are known so far that are required for catalytic activity of lysosomal enzymes. The first type represents the conversion of the catalytically inactive pro-form of ... More


The Teleological Significance Of Dreaming In Aristotle

Mor Segev

in Oxford Studies in Ancient Philosophy, Volume 43

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199666164
eISBN:
9780191751936
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666164.003.0005
Subject:
Philosophy, Ancient Philosophy

In his discussions of dreaming in the Parva Naturalia, Aristotle neither claims nor denies that dreams serve a natural purpose. Modern scholarship generally interprets dreaming as useless and ... More


Dilemmas: Dithering, Plumping, and Grief

Simon Blackburn

in Practical Tortoise Raising: and other philosophical essays

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199548057
eISBN:
9780191594953
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199548057.003.0004
Subject:
Philosophy, Moral Philosophy, Metaphysics/Epistemology

This chapter argues that there is no reason to take sides over whether an agent who eventually plumps for one course of action when faced with a moral dilemma fails in an obligation. It argues that ... More


VALUE BEYOND DESIRE

GRAHAM ODDIE

in Value, Reality, and Desire

Published in print:
2005
Published Online:
July 2005
ISBN:
9780199273416
eISBN:
9780191602658
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199273413.003.0005
Subject:
Philosophy, Moral Philosophy

This chapter examines what happens when certain pathologies of desire are systematically refined. The results suggest that there is a desire-independent value residue, one to which the pure idealist ... More


The Anatomy of Conflicts of Fundamental Legal Rights

Lorenzo Zucca

in Constitutional Dilemmas: Conflicts of Fundamental Legal Rights in Europe and the USA

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199552184
eISBN:
9780191709630
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199552184.003.0003
Subject:
Law, Constitutional and Administrative Law

This chapter attempts to grasp the central case of such conflicts, thereby coming up with a distinction between genuine and spurious conflicts. It is argued that legal systems, despite strong ... More


Moral Dilemmas, Gaps, and Residues

Thomas E. Hill

in Human Welfare and Moral Worth: Kantian Perspectives

Published in print:
2002
Published Online:
November 2003
ISBN:
9780199252633
eISBN:
9780191597695
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199252637.003.0013
Subject:
Philosophy, Moral Philosophy

Offers an explanation of Kant's denial that there can be any genuine moral dilemmas and criticizes Alan Donagan's claim that we can put ourselves into a moral dilemma by our own wrongdoing. Although ... More


Unramified Quadrangles of Type E6, E7 and E8

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0011
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ‎ is a Moufang quadrangle of type E⁶, E₇, and E₈. It begins with a hypothesis that takes into account a ... More


Semi-ramified Quadrangles of Type E6, E7 and E8

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0012
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ‎ is a Moufang semi-ramified quadrangle of type E⁶, E₇ and E₈. The basic proposition is that Ξ‎ is a ... More


Ramified Quadrangles of Type E6, E7 and E8

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0013
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ‎ is a Moufang ramified quadrangle of type E⁶, E₇ and E₈. The basic proposition is that Ξ‎ is a ramified ... More


Totally Wild Quadratic Forms of Type E7

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0015
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter assumes that (K, L, q) is a totally wild quadratic space of type E₇. The goal is to prove the proposition that takes into account Λ‎ of type E₇, D as the quaternion division algebra over ... More


The Other Bruhat-Tits Buildings

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0018
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter summarizes the results about the residues of Bruhat-Tits buildings other than those associated with the exceptional Moufang quadrangles examined in previous chapters. It first considers ... More


Fixed Apartments

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0025
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter considers the conditions which force a group of order 2 acting on a building to stabilize various kinds of substructures. It shows that a group of order 2 acting on a spherical building ... More


Galois Involutions

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0031
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter focuses on the fixed points of a strictly semi-linear automorphism of order 2 of a spherical building which satisfies the conditions laid out in Hypothesis 30.1. It begins with the fhe ... More


Stewing on a Theme of Cuisine: Biomolecular and Interpretive Approaches to Culinary Changes at the Transition to Agriculture

Hayley Saul, Aikaterini Glykou, and Oliver E. Craig

in Early Farmers: The View from Archaeology and Science

Published in print:
2014
Published Online:
May 2015
ISBN:
9780197265758
eISBN:
9780191771965
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197265758.003.0011
Subject:
Archaeology, Prehistoric Archaeology

In the last two decades scientific techniques have opened up new avenues in archaeological studies of food. In particular, biomolecular approaches generate datasets with fundamentally different ... More


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