The Resource Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi, by André Unterberger, (electronic resource)

Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi, by André Unterberger, (electronic resource)

Label
Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi
Title
Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi
Statement of responsibility
by André Unterberger
Creator
Author
Author
Subject
Language
  • eng
  • eng
Member of
http://library.link/vocab/creatorName
Unterberger, André
Dewey number
515.724
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
j0XBSJliBjM
Image bit depth
0
Language note
English
LC call number
QA329-329.9
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Progress in Mathematics,
Series volume
209
http://library.link/vocab/subjectName
  • Operator theory
  • Topological Groups
  • Global analysis
  • Differential equations, partial
  • Number theory
  • Quantum theory
  • Operator Theory
  • Topological Groups, Lie Groups
  • Global Analysis and Analysis on Manifolds
  • Partial Differential Equations
  • Number Theory
  • Quantum Physics
Label
Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi, by André Unterberger, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Introduction -- 1 Automorphic Distributions and the Weyl Calculus -- 2 he Weyl calculus, the upper half-plane, and automorphic distributions -- 3 Eisenstein distributions, Dirac’s comb and Bezout’s distribution -- 4 The structure of automorphic distributions -- 5 The main formula: a heuristic approach -- 2 A Higher-level Weyl Calculus of Operators -- 6 A tamer version of the Weyl calculus: the horocyclic calculus -- 7 The higher-level metaplectic representations -- 8 The radial parts of relativistic wave operators -- 9 The higher-level Weyl calculi -- 10 Can one compose two automorphic operators? -- 11 The sharp product of two power-functions: the Weyl case -- 12 Beyond the symplectic group -- 3 The Sharp Composition of Automorphic Distributions -- 13 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the continuous part -- 14 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the discrete part -- 15 A proof of the main formula -- 16 Towards the completion of the multiplication table -- 4 Further Perspectives -- 17 Another way to compose Weyl symbols -- 18 Odd automorphic distributions and modular forms of non-zero weight -- 19 New perspectives and problems in quantization theory -- Index of Notation
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (IX, 246 p.)
File format
multiple file formats
Form of item
online
Isbn
9783034879781
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-7978-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000101398
  • (SSID)ssj0001295965
  • (PQKBManifestationID)11748639
  • (PQKBTitleCode)TC0001295965
  • (PQKBWorkID)11347191
  • (PQKB)11478810
  • (DE-He213)978-3-0348-7978-1
  • (MiAaPQ)EBC3086844
  • (EXLCZ)993400000000101398
Label
Automorphic Pseudodifferential Analysis and Higher Level Weyl Calculi, by André Unterberger, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1 Introduction -- 1 Automorphic Distributions and the Weyl Calculus -- 2 he Weyl calculus, the upper half-plane, and automorphic distributions -- 3 Eisenstein distributions, Dirac’s comb and Bezout’s distribution -- 4 The structure of automorphic distributions -- 5 The main formula: a heuristic approach -- 2 A Higher-level Weyl Calculus of Operators -- 6 A tamer version of the Weyl calculus: the horocyclic calculus -- 7 The higher-level metaplectic representations -- 8 The radial parts of relativistic wave operators -- 9 The higher-level Weyl calculi -- 10 Can one compose two automorphic operators? -- 11 The sharp product of two power-functions: the Weyl case -- 12 Beyond the symplectic group -- 3 The Sharp Composition of Automorphic Distributions -- 13 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the continuous part -- 14 The Roelcke-Selberg expansion of functions associated with $$\mathfrak{E}_{{{{\nu }_{1}}}}^{\sharp }\# \mathfrak{E}_{{\nu 2}}^{\sharp }$$ the discrete part -- 15 A proof of the main formula -- 16 Towards the completion of the multiplication table -- 4 Further Perspectives -- 17 Another way to compose Weyl symbols -- 18 Odd automorphic distributions and modular forms of non-zero weight -- 19 New perspectives and problems in quantization theory -- Index of Notation
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (IX, 246 p.)
File format
multiple file formats
Form of item
online
Isbn
9783034879781
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-0348-7978-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000101398
  • (SSID)ssj0001295965
  • (PQKBManifestationID)11748639
  • (PQKBTitleCode)TC0001295965
  • (PQKBWorkID)11347191
  • (PQKB)11478810
  • (DE-He213)978-3-0348-7978-1
  • (MiAaPQ)EBC3086844
  • (EXLCZ)993400000000101398

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