Alternative Pseudodifferential Analysis: With an Application to Modular Forms: Lecture Notes in Mathematics, cartea 1935
Autor André Unterbergeren Limba Engleză Paperback – 3 sep 2008
Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one.
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Specificații
ISBN-13: 9783540779100
ISBN-10: 3540779108
Pagini: 136
Ilustrații: IX, 118 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.25 kg
Ediția:2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3540779108
Pagini: 136
Ilustrații: IX, 118 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.25 kg
Ediția:2008
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
Preface.- Introduction.- The Metaplectic and Anaplectic Representations.- The One-dimensional Alternative Pseudodifferential Analysis.- From Anaplectic Analysis to Usual Analysis.- Pseudodifferential Analysis and Modular Forms.- Index.- Bibliography.
Textul de pe ultima copertă
This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis.
Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one.
Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one.
Caracteristici
Includes supplementary material: sn.pub/extras