Differential analysis in infinite dimensional spaces : proceedings of an AMS special session held August 8-10, 1983, with partial support from the NSERC (Canada)

This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as ultraproducts and ultrapowers have illuminated the relationship between the geometric properties of Banach spaces and the existence of differe...

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Hauptverfasser: Sundaresan, Kondagunta, Speical Session on Differential Analysis in Infinite Dimensional Spaces, American Mathematical Society, Swaminathan, Srinivasa
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, R.I American Mathematical Society 1986
Schriftenreihe:Contemporary mathematics
Schlagworte:
Complex manifolds
Complex manifolds > Congresses
Differentiable manifolds
Differentiable manifolds > Congresses
微分可能多様体
複素変数関数論
ISBN:9780821850596, 0821850598
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Abstract This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as ultraproducts and ultrapowers have illuminated the relationship between the geometric properties of Banach spaces and the existence of differentiable functions on the spaces. The wide range of topics covered also includes gauge theories, polar subsets, approximation theory, group analysis of partial differential equations, inequalities, and actions on infinite groups. Addressed to both the expert and the advanced graduate student, the book requires a basic knowledge of functional analysis and differential topology.
AbstractList This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as ultraproducts and ultrapowers have illuminated the relationship between the geometric properties of Banach spaces and the existence of differentiable functions on the spaces. The wide range of topics covered also includes gauge theories, polar subsets, approximation theory, group analysis of partial differential equations, inequalities, and actions on infinite groups. Addressed to both the expert and the advanced graduate student, the book requires a basic knowledge of functional analysis and differential topology.
Author American Mathematical Society
Sundaresan, Kondagunta
Speical Session on Differential Analysis in Infinite Dimensional Spaces
Swaminathan, Srinivasa
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  fullname: Swaminathan, Srinivasa
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Notes Includes bibliographies
"Proceedings of the Special Session on Differential Analysis in Infinite Dimensional Spaces ... held at the 87th Summer Meeting of the American Mathematical Society in Albany, New York"--Verso of t.p.
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Snippet This volume focuses on developments made in the past two decades in the field of differential analysis in infinite dimensional spaces. New techniques such as...
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SubjectTerms Complex manifolds
Complex manifolds -- Congresses
Differentiable manifolds
Differentiable manifolds -- Congresses
微分可能多様体
複素変数関数論
Title Differential analysis in infinite dimensional spaces : proceedings of an AMS special session held August 8-10, 1983, with partial support from the NSERC (Canada)
URI https://cir.nii.ac.jp/crid/1130000794908867328
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Volume 54
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