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Functional Analysis and the Feynman Operator Calculus

by Tepper Gill
Save 35% Save 35%
Current price ₹8,732.00
Original price ₹13,433.00
Original price ₹13,433.00
Original price ₹13,433.00
(-35%)
₹8,732.00
Current price ₹8,732.00

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Book cover type: Paperback
  • ISBN13: 9783319801803
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 354
  • Original Price: EUR 119.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 533 grams
  • BISAC Subject(s): Functional Analysis and Physics / Mathematical & Computational

From the Back Cover
This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, the results are used to unify methods and weaken domain requirements for non-autonomous evolution equations. Other applications include a general theory of Lebesgue measure on Banach spaces with a Schauder basis and a new approach to the structure theory of operators on uniformly convex Banach spaces. This book is intended for advanced graduate students and researchers.

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