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Diffstat (limited to 'bib')
| -rw-r--r-- | bib/articles.bib | 2 | ||||
| -rw-r--r-- | bib/misc.bib | 28 | ||||
| -rw-r--r-- | bib/much.bib | 29 | ||||
| -rw-r--r-- | bib/test.bib | 32 | ||||
| -rw-r--r-- | bib/test/distributions.bib | 170 |
5 files changed, 260 insertions, 1 deletions
diff --git a/bib/articles.bib b/bib/articles.bib index 2368b40..60d4d4f 100644 --- a/bib/articles.bib +++ b/bib/articles.bib @@ -1,8 +1,8 @@ @article{Epstein1965, author = {Epstein, H. and Glaser, V. and Jaffe, A.}, title = {Nonpositivity of the Energy Density in Quantized Field Theories}, - publisher = {Società Italiana di Fisica}, journaltitle = {Il Nuovo Cimento}, + publisher = {Società Italiana di Fisica}, volume = {36}, issue = {3}, date = {1965}, diff --git a/bib/misc.bib b/bib/misc.bib new file mode 100644 index 0000000..b32be08 --- /dev/null +++ b/bib/misc.bib @@ -0,0 +1,28 @@ +@book{ReedSimon1, + maintitle = {Methods of Modern Mathematical Physics}, + title = {Functional Analysis}, + author = {Michael Reed and Barry Simon}, + publisher = {Academic Press}, + date = {1980}, + edition = {Revised and Enlarged Edition}, + volume = {1}, +} +@book{ReedSimon2, + maintitle = {Methods of Modern Mathematical Physics}, + title = {Fourier Analysis, Self-Adjointness}, + author = {Michael Reed and Barry Simon}, + publisher = {Academic Press}, + date = {1975}, + volume = {2}, +} +@article{Nelson1972, + title = {Time-Ordered Operator Products of Sharp-Time Quadratic Forms}, + author = {Edward Nelson}, + publisher = {Elsevier Science}, + journal = {Journal of Functional Analysis}, + issn = {0022-1236,1096-0783}, + date = {1972}, + volume = {11}, + number = {2}, + pages = {211--219}, +} diff --git a/bib/much.bib b/bib/much.bib new file mode 100644 index 0000000..c2f76f4 --- /dev/null +++ b/bib/much.bib @@ -0,0 +1,29 @@ +@misc{Much2022, + title={An approximate local modular quantum energy inequality in general quantum field theory}, + author={Albert Much and Albert Georg Passegger and Rainer Verch}, + year={2022}, + eprint={2210.01145}, + archivePrefix={arXiv}, + primaryClass={math-ph} +} +@article{Bisognano1975, + title = {On the duality condition for a Hermitian scalar field}, + author = {Joseph J. Bisognano and Eyvind H. Wichmann}, + publisher = {American Institute of Physics}, + journal = {Journal of Mathematical Physics}, + issn = {0022-2488,1089-7658}, + year = {1975}, + volume = {16}, + number = {4}, + pages = {985-1007}, +} +@book{Schmüdgen2012, + title = {Unbounded Self-adjoint Operators on Hilbert Space}, + author = {Konrad Schmüdgen}, + publisher = {Springer}, + isbn = {9789400747524}, + year = {2012}, + series = {Graduate Texts in Mathematics}, + edition = {1}, + volume = {265}, +} diff --git a/bib/test.bib b/bib/test.bib new file mode 100644 index 0000000..c6d07d6 --- /dev/null +++ b/bib/test.bib @@ -0,0 +1,32 @@ +@book{book:4004309, + title = {Introduction to Algebraic and Constructive Quantum Field Theory}, + author = {John C. Baez and Irving Ezra Segal and Zhengfang Zhou}, + publisher = {Princeton University Press}, + isbn = {9781400862504}, + year = {1992}, + series = {Princeton Series in Physics}, + volume = {}, +} +@article{Wick1950, + title = {The Evaluation of the Collision Matrix}, + author = {G. C. Wick}, + publisher = {American Physical Society}, + journal = {Physical Review}, + issn = {0031-899X,1536-6065}, + year = {1950}, + volume = {80}, + number = {2}, + pages = {268--272}, +} +@article{Fewster1998, + title = {Bounds on negative energy densities in flat spacetime}, + author = {C. J .Fewster and S. P. Eveson}, + publisher = {American Physical Society}, + journal = {Physical Review D}, + ISSN = {1089-4918}, + year = {1998}, + volume = {58}, + number = {8}, + month = sep, + pages = {084010}, +} diff --git a/bib/test/distributions.bib b/bib/test/distributions.bib new file mode 100644 index 0000000..81746dc --- /dev/null +++ b/bib/test/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}, +} |