1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
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},
}
|
