・Added a comment concerning "adeles/ideles" to the discussion of prime-strips in \S 3 ・Revised and added a supplementary paragraph to the discussion of the analogy to the  Fourier transform at the end of \S 3 ・Revised and expanded the discussion of the log-link following the statement of Theorem 4.1 ・Added a remark concerning cusps of the upper half-plane to the discussion of profinite  and tempered conjugates in \S 3 ・Slightly modified the discussion of finite \'etale coverings determined by initial  \Theta-data at the beginning of \S 3 ・Slightly modified the discussion immediately preceding Fig. 2.5 ・Slightly modified the discussion of global Kummer theory in \S 3 ・Added Figs. 4.1, 4.2 to \S 4 and made corresponding adjustments to the text ・Corrected a misprint ("groups" ---> "group") in the discussion preceding Theorem 1.1 ・Corrected a misprint ("surface" ---> "surfaces") in the explanation of the term  "mono-analytic" in \S 1 ・Corrected a slight inaccuracy (by inserting the phrase "[a certain submonoid of]") in  the discussion of prime-strips in \S 3 ・Inserted two missing commas (preceding two instances of the word "via") in the discussion  of Hodge theaters and symmetries in \S 3 ・Italicized two instances of the word "abstract" in the discussion of horizontally coric  structures in \S 3 ・Replaced the phrase "similar statement" by the phrase "analogous statement" in the  discussion of "walls" in \S 3 ・Slightly modified Fig. 3.5 so as to render the notation closer to the description  given in the text ・Corrected a misprint ("\lambda" ---> "t") in the discussion of Fourier transforms at  the end of \S 3 ・Corrected a misprint ("defined to" ---> "defined in") in the discussion of analytic  continuation at the end of \S 3