diff options
-rw-r--r-- | .cspell.yaml | 38 | ||||
-rw-r--r-- | .cspell/citekeys.txt | 32 | ||||
-rw-r--r-- | .cspell/project-code.txt | 26 | ||||
-rw-r--r-- | .cspell/project-words.txt | 13 | ||||
-rw-r--r-- | bib/distributions.bib | 170 | ||||
-rw-r--r-- | bib/standard.bib | 13 |
6 files changed, 292 insertions, 0 deletions
diff --git a/.cspell.yaml b/.cspell.yaml new file mode 100644 index 0000000..8497152 --- /dev/null +++ b/.cspell.yaml @@ -0,0 +1,38 @@ +--- +version: "0.2" +language: "en-GB" +dictionaryDefinitions: + - name: project-code + path: "./.cspell/project-code.txt" + addWords: true + - name: project-words + path: "./.cspell/project-words.txt" + addWords: true + - name: project-citekeys + path: "./.cspell/project-citekeys.txt" + addWords: true + - name: latex-pkgs + path: "./.cspell/my-cspell-dicts/latex-pkgs.txt" + addWords: true + - name: biblatex + path: "./.cspell/my-cspell-dicts/biblatex.txt" + addWords: true + - name: names + path: "./.cspell/my-cspell-dicts/names.txt" + addWords: true +dictionaries: + - latex + - project-code + - project-words + - latex-pkgs +overrides: + - filename: "bib/**/*.bib" + dictionaries: + - biblatex + - names +ignorePaths: + - "./.cspell/" + - "./aux/" + - "./my/" + - "./my2/" +minWordLength: 3 diff --git a/.cspell/citekeys.txt b/.cspell/citekeys.txt new file mode 100644 index 0000000..69913d8 --- /dev/null +++ b/.cspell/citekeys.txt @@ -0,0 +1,32 @@ +Gårding-1959 +Gelfand1964 +Thirring1958 +Messiah1 +Messiah2 +Reeh1961 +Ruelle1962 +Mackey1963 +Borchers1964 +Streater1964 +Wightman1964 +Epstein1965 +Jauch-1968 +Wightman1996 +Cohen-Tannoudji2 +Cohen-Tannoudji1 +Cohen-Tannoudji3 +Cohen-Tannoudji +Itzykson1980 +Ramond1989 +WeinbergI +WeinbergII +Ryder1996 +Araki1999 +WeinbergIII +Folland2008 +Takhtajan2008 +Dimock2011 +Strocchi2013 +Gustafson2020 +Talagrand2022 +Weinberg diff --git a/.cspell/project-code.txt b/.cspell/project-code.txt new file mode 100644 index 0000000..717e2c0 --- /dev/null +++ b/.cspell/project-code.txt @@ -0,0 +1,26 @@ +abs +norm +parens +bracks +braces +angles +bra +ket +innerp +hilb +defn +normord +proofname +fausansoffice +faunat +linkcolor +sectionbib +trailingtext +supp +faunat +linkcolor +fausansoffice +mythmstyle +mythmcounter +themythmcounter +mynewthm diff --git a/.cspell/project-words.txt b/.cspell/project-words.txt new file mode 100644 index 0000000..3986d22 --- /dev/null +++ b/.cspell/project-words.txt @@ -0,0 +1,13 @@ +spacelike +spacetime +nonpositivity +nonvanishing +abelian +pullback +fock +gassner +hanno +sahlmann +epsteinglaserjaffe +distri +fau diff --git a/bib/distributions.bib b/bib/distributions.bib new file mode 100644 index 0000000..81746dc --- /dev/null +++ b/bib/distributions.bib @@ -0,0 +1,170 @@ +@book{Halperin1952, + series = {Canadian Mathematical Congress, Lecture Series}, + volume = {1}, + title = {Introduction to the Theory of Distributions}, + author = {Israel Halperin}, + note = {Based on the lectures given by \textsc{L. Schwartz}.}, + publisher = {University of Toronto Press}, + year = {1952}, +} +@book{Lighthill1958, + title = {Introduction to Fourier Analysis and Generalised Functions}, + author = {M. J. Lighthill}, + publisher = {Cambridge University Press}, + year = {1958}, +} +@article{Gårding1959, + doi = {10.1007/bf02724838}, + title = {Functional Analysis}, + author = {L. Gårding and J. L. Lions}, + publisher = {Società Italiana di Fisica}, + journaltitle = {Il Nuovo Cimento}, + issn = {0029-6341,1827-6121}, + year = {1959}, + volume = {14}, + issue = {1 Supplement}, + pages = {9--66}, +} +@book{Erdélyi1962, + title = {Operational Calculus and Generalized Functions}, + author = {Arthur Erdélyi}, + publisher = {Holt, Rinehart and Winston}, + year = {1962}, +} +@book{Schwartz1966, + title = {Théorie des distributions}, + author = {Laurent Schwartz}, + publisher = {Hermann}, + year = {1966}, + language = {french}, +} +@book{Trèves1967, + title = {Topological Vector Spaces, Distributions and Kernels}, + author = {François Trèves}, + publisher = {Academic Press}, + year = {1967}, +} +@book{Jones1982, + title = {The Theory of Generalised Functions}, + author = {D. S. Jones}, + publisher = {Cambridge University Press}, + year = {1982}, + edition = {2}, +} +@book{GenFunc1, + maintitle = {Generalized Functions}, + volume = {1}, + title = {Properties and Operations}, + author = {I. M. Gel'fand and G. E. Shilov}, + publisher = {Academic Press}, + year = {1964}, + language = {english}, + origlanguage = {russian}, + translator = {Eugene Saletan}, +} +@book{GenFunc2, + maintitle = {Generalized Functions}, + volume = {2}, + title = {Spaces of Fundamental and Generalized Functions}, + author = {I. M. Gel'fand and G. E. Shilov}, + publisher = {Academic Press}, + year = {1968}, + language = {english}, + origlanguage = {russian}, + translator = {Morris D. Friedman and Amiel Feinstein and Christian P. Peltzer}, +} +@book{GenFunc3, + maintitle = {Generalized Functions}, + volume = {3}, + title = {Theory of Differential Equations }, + author = {I. M. Gel'fand and G. E. Shilov}, + publisher = {Academic Press}, + year = {1967}, + language = {english}, + origlanguage = {russian}, + translator = {Meinhard E. Mayer}, +} +@book{GenFunc4, + maintitle = {Generalized Functions}, + volume = {4}, + title = {Applications of Harmonic Analysis}, + author = {I. M. Gel'fand and N. Ya. Vilenkin}, + publisher = {Academic Press}, + year = {1964}, + language = {english}, + origlanguage = {russian}, + translator = {Amiel Feinstein}, +} +@book{GenFunc5, + maintitle = {Generalized Functions}, + volume = {5}, + title = {Integral Geometry and Representation Theory}, + author = {I. M. Gel'fand and M. I. Graev and N. Ya. Vilenkin}, + publisher = {Academic Press}, + year = {1966}, + language = {english}, + origlanguage = {russian}, + translator = {Eugene Saletan}, +} +@book{GenFunc6, + maintitle = {Generalized Functions}, + volume = {6}, + title = {Representation Theory and Automorphic Functions}, + author = {I. M. Gel'fand and M. I. Graev and I. I. Pyatetskii-Shapiro}, + publisher = {W. B. Saunders}, + year = {1969}, + language = {english}, + origlanguage = {russian}, + translator = {K. A. Hirsch}, +} +@book{Richards1990, + title = {The Theory of Distributions}, + subtitle = {A Nontechnical Introduction}, + author = {Ian Richards and Heekyung Youn}, + publisher = {Cambridge University Press}, + year = {1990}, +} +@book{Strichartz1994, + title = {A Guide to Distribution Theory and Fourier Transforms}, + author = {Robert Strichartz}, + publisher = {CRC Press}, + year = {1994}, + series = {Studies in Advanced Mathematics}, + edition = {}, + volume = {}, +} +@article{Wightman1996, + doi = {10.1002/prop.2190440204}, + title = {How It Was Learned that Quantized Fields Are Operator-Valued Distributions}, + author = {A. S. Wightman}, + publisher = {John Wiley and Sons}, + journaltitle = {Fortschritte der Physik}, + issn = {0015-8208,1521-3978}, + year = {1996}, + volume = {44}, + issue = {2}, + pages = {143--178}, +} +@book{Friedlander1999, + title = {Introduction to the Theory of Distributions}, + author = {F. G. Friedlander and M. Joshi}, + publisher = {Cambridge University Press}, + year = {1999}, + edition = {2}, +} +@book{Hoskins2005, + title = {Theories of Generalised Functions}, + title = {Distributions, Ultradistributions and Other Generalised Functions}, + author = {R. F. Hoskins and J. S. Pinto}, + publisher = {Woodhead Publishing}, + year = {2005}, + edition = {2}, +} +@book{Hoskins2009, + title = {Delta Functions}, + subtitle = {Introduction to Generalised Functions}, + author = {R. F. Hoskins}, + publisher = {Woodhead Publishing}, + year = {2009}, + edition = {2}, +} diff --git a/bib/standard.bib b/bib/standard.bib new file mode 100644 index 0000000..5149b71 --- /dev/null +++ b/bib/standard.bib @@ -0,0 +1,13 @@ +@unpublished{Longo2008, + title = {Lectures on Conformal Nets}, + author = {Roberto Longo}, + year = {2008}, + language = {english}, +} +@misc{Neeb2017, + title={On the geometry of standard subspaces}, + author={Karl-Hermann Neeb}, + year={2017}, + eprint={1707.05506}, + archivePrefix={arXiv}, +} |