edge-of-the-wedge theorem

noun

A theorem implying that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations of each other provided they both give the same continuous function on the edge. It is used in quantum field theory to construct the analytic continuation of Wightman functions.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounedge-of-the-wedge theorem (plural edge-of-the-wedge theorems)

plural edge-of-the-wedge theorems

  1. mathematicsA theorem implying that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations of each other provided they both give the same continuous function on the edge. It is used in quantum field theory to construct the analytic continuation of Wightman functions.
Cite this entry
APA

edge-of-the-wedge theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/edge-of-the-wedge%20theorem

MLA

“edge-of-the-wedge theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/edge-of-the-wedge%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “edge-of-the-wedge theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/edge-of-the-wedge%20theorem.

Source: edge-of-the-wedge theorem on Wiktionary, CC BY-SA 4.0.